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Finding the Third Proportional to 147,703 and 322,139

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Solution

The third proportional to 147,703 and 322,139 is: 702,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,703 : 322,139 = 322,139 : x
  2. Step 2: Convert to fraction form
    147,703/322,139 = 322,139/x
  3. Step 3: Cross multiply
    147,703x = 322,139 × 322,139
  4. Step 4: Simplify right side
    147,703x = 103,773,535,321
  5. Step 5: Solve for x
    x = 103,773,535,321/147,703
  6. Step 6: Final answer
    x = 702,582.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.