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Finding the Third Proportional to 176,572.13 and 386,154

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Solution

The third proportional to 176,572.13 and 386,154 is: 844,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,572.13 : 386,154 = 386,154 : x
  2. Step 2: Convert to fraction form
    176,572.13/386,154 = 386,154/x
  3. Step 3: Cross multiply
    176,572.13x = 386,154 × 386,154
  4. Step 4: Simplify right side
    176,572.13x = 149,114,911,716
  5. Step 5: Solve for x
    x = 149,114,911,716/176,572.13
  6. Step 6: Final answer
    x = 844,498.60

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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.