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Finding the Third Proportional to 233,122.50 and 509,985

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Solution

The third proportional to 233,122.50 and 509,985 is: 1,115,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,122.50 : 509,985 = 509,985 : x
  2. Step 2: Convert to fraction form
    233,122.50/509,985 = 509,985/x
  3. Step 3: Cross multiply
    233,122.50x = 509,985 × 509,985
  4. Step 4: Simplify right side
    233,122.50x = 260,084,700,225
  5. Step 5: Solve for x
    x = 260,084,700,225/233,122.50
  6. Step 6: Final answer
    x = 1,115,656.79

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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.