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Finding the Third Proportional to 119,016 and 249,705

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Solution

The third proportional to 119,016 and 249,705 is: 523,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,016 : 249,705 = 249,705 : x
  2. Step 2: Convert to fraction form
    119,016/249,705 = 249,705/x
  3. Step 3: Cross multiply
    119,016x = 249,705 × 249,705
  4. Step 4: Simplify right side
    119,016x = 62,352,587,025
  5. Step 5: Solve for x
    x = 62,352,587,025/119,016
  6. Step 6: Final answer
    x = 523,900.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.