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Finding the Third Proportional to 80,497.50 and 176,547

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Solution

The third proportional to 80,497.50 and 176,547 is: 387,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,497.50 : 176,547 = 176,547 : x
  2. Step 2: Convert to fraction form
    80,497.50/176,547 = 176,547/x
  3. Step 3: Cross multiply
    80,497.50x = 176,547 × 176,547
  4. Step 4: Simplify right side
    80,497.50x = 31,168,843,209
  5. Step 5: Solve for x
    x = 31,168,843,209/80,497.50
  6. Step 6: Final answer
    x = 387,202.62

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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.