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Finding the Third Proportional to 233,465.06 and 510,177.94

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Solution

The third proportional to 233,465.06 and 510,177.94 is: 1,114,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,465.06 : 510,177.94 = 510,177.94 : x
  2. Step 2: Convert to fraction form
    233,465.06/510,177.94 = 510,177.94/x
  3. Step 3: Cross multiply
    233,465.06x = 510,177.94 × 510,177.94
  4. Step 4: Simplify right side
    233,465.06x = 260,281,527,911.75
  5. Step 5: Solve for x
    x = 260,281,527,911.75/233,465.06
  6. Step 6: Final answer
    x = 1,114,862.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.