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Finding the Third Proportional to 109,695.50 and 237,382

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Solution

The third proportional to 109,695.50 and 237,382 is: 513,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,695.50 : 237,382 = 237,382 : x
  2. Step 2: Convert to fraction form
    109,695.50/237,382 = 237,382/x
  3. Step 3: Cross multiply
    109,695.50x = 237,382 × 237,382
  4. Step 4: Simplify right side
    109,695.50x = 56,350,213,924
  5. Step 5: Solve for x
    x = 56,350,213,924/109,695.50
  6. Step 6: Final answer
    x = 513,696.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.