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Finding the Third Proportional to 216,707.06 and 287,623.13

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Solution

The third proportional to 216,707.06 and 287,623.13 is: 381,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,707.06 : 287,623.13 = 287,623.13 : x
  2. Step 2: Convert to fraction form
    216,707.06/287,623.13 = 287,623.13/x
  3. Step 3: Cross multiply
    216,707.06x = 287,623.13 × 287,623.13
  4. Step 4: Simplify right side
    216,707.06x = 82,727,062,034.77
  5. Step 5: Solve for x
    x = 82,727,062,034.77/216,707.06
  6. Step 6: Final answer
    x = 381,746.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.