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Finding the Third Proportional to 176,673.38 and 386,991

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Solution

The third proportional to 176,673.38 and 386,991 is: 847,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,673.38 : 386,991 = 386,991 : x
  2. Step 2: Convert to fraction form
    176,673.38/386,991 = 386,991/x
  3. Step 3: Cross multiply
    176,673.38x = 386,991 × 386,991
  4. Step 4: Simplify right side
    176,673.38x = 149,762,034,081
  5. Step 5: Solve for x
    x = 149,762,034,081/176,673.38
  6. Step 6: Final answer
    x = 847,677.44

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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.