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Finding the Third Proportional to 74,818.38 and 161,506.50

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Solution

The third proportional to 74,818.38 and 161,506.50 is: 348,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,818.38 : 161,506.50 = 161,506.50 : x
  2. Step 2: Convert to fraction form
    74,818.38/161,506.50 = 161,506.50/x
  3. Step 3: Cross multiply
    74,818.38x = 161,506.50 × 161,506.50
  4. Step 4: Simplify right side
    74,818.38x = 26,084,349,542.25
  5. Step 5: Solve for x
    x = 26,084,349,542.25/74,818.38
  6. Step 6: Final answer
    x = 348,635.61

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Why These Related Problems?

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