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Finding the Third Proportional to 132,079.50 and 287,730

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Solution

The third proportional to 132,079.50 and 287,730 is: 626,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,079.50 : 287,730 = 287,730 : x
  2. Step 2: Convert to fraction form
    132,079.50/287,730 = 287,730/x
  3. Step 3: Cross multiply
    132,079.50x = 287,730 × 287,730
  4. Step 4: Simplify right side
    132,079.50x = 82,788,552,900
  5. Step 5: Solve for x
    x = 82,788,552,900/132,079.50
  6. Step 6: Final answer
    x = 626,808.50

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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.