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Finding the Third Proportional to 145,617 and 319,785

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Solution

The third proportional to 145,617 and 319,785 is: 702,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,617 : 319,785 = 319,785 : x
  2. Step 2: Convert to fraction form
    145,617/319,785 = 319,785/x
  3. Step 3: Cross multiply
    145,617x = 319,785 × 319,785
  4. Step 4: Simplify right side
    145,617x = 102,262,446,225
  5. Step 5: Solve for x
    x = 102,262,446,225/145,617
  6. Step 6: Final answer
    x = 702,269.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.