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Finding the Third Proportional to 233,151.75 and 510,030

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Solution

The third proportional to 233,151.75 and 510,030 is: 1,115,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,151.75 : 510,030 = 510,030 : x
  2. Step 2: Convert to fraction form
    233,151.75/510,030 = 510,030/x
  3. Step 3: Cross multiply
    233,151.75x = 510,030 × 510,030
  4. Step 4: Simplify right side
    233,151.75x = 260,130,600,900
  5. Step 5: Solve for x
    x = 260,130,600,900/233,151.75
  6. Step 6: Final answer
    x = 1,115,713.70

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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.