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Finding the Third Proportional to 229,551.75 and 499,761

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Solution

The third proportional to 229,551.75 and 499,761 is: 1,088,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,551.75 : 499,761 = 499,761 : x
  2. Step 2: Convert to fraction form
    229,551.75/499,761 = 499,761/x
  3. Step 3: Cross multiply
    229,551.75x = 499,761 × 499,761
  4. Step 4: Simplify right side
    229,551.75x = 249,761,057,121
  5. Step 5: Solve for x
    x = 249,761,057,121/229,551.75
  6. Step 6: Final answer
    x = 1,088,038.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.