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Finding the Third Proportional to 147,042 and 322,089

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Solution

The third proportional to 147,042 and 322,089 is: 705,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,042 : 322,089 = 322,089 : x
  2. Step 2: Convert to fraction form
    147,042/322,089 = 322,089/x
  3. Step 3: Cross multiply
    147,042x = 322,089 × 322,089
  4. Step 4: Simplify right side
    147,042x = 103,741,323,921
  5. Step 5: Solve for x
    x = 103,741,323,921/147,042
  6. Step 6: Final answer
    x = 705,521.71

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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.