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Finding the Third Proportional to 186,565.50 and 399,726

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Solution

The third proportional to 186,565.50 and 399,726 is: 856,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,565.50 : 399,726 = 399,726 : x
  2. Step 2: Convert to fraction form
    186,565.50/399,726 = 399,726/x
  3. Step 3: Cross multiply
    186,565.50x = 399,726 × 399,726
  4. Step 4: Simplify right side
    186,565.50x = 159,780,875,076
  5. Step 5: Solve for x
    x = 159,780,875,076/186,565.50
  6. Step 6: Final answer
    x = 856,433.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.