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Finding the Third Proportional to 186,232.92 and 288,308.11

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Solution

The third proportional to 186,232.92 and 288,308.11 is: 446,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,232.92 : 288,308.11 = 288,308.11 : x
  2. Step 2: Convert to fraction form
    186,232.92/288,308.11 = 288,308.11/x
  3. Step 3: Cross multiply
    186,232.92x = 288,308.11 × 288,308.11
  4. Step 4: Simplify right side
    186,232.92x = 83,121,565,931.39
  5. Step 5: Solve for x
    x = 83,121,565,931.39/186,232.92
  6. Step 6: Final answer
    x = 446,331.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.