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Finding the Third Proportional to 240,088.50 and 515,169

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Solution

The third proportional to 240,088.50 and 515,169 is: 1,105,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,088.50 : 515,169 = 515,169 : x
  2. Step 2: Convert to fraction form
    240,088.50/515,169 = 515,169/x
  3. Step 3: Cross multiply
    240,088.50x = 515,169 × 515,169
  4. Step 4: Simplify right side
    240,088.50x = 265,399,098,561
  5. Step 5: Solve for x
    x = 265,399,098,561/240,088.50
  6. Step 6: Final answer
    x = 1,105,421.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.