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Finding the Third Proportional to 148,045 and 325,613

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Solution

The third proportional to 148,045 and 325,613 is: 716,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,045 : 325,613 = 325,613 : x
  2. Step 2: Convert to fraction form
    148,045/325,613 = 325,613/x
  3. Step 3: Cross multiply
    148,045x = 325,613 × 325,613
  4. Step 4: Simplify right side
    148,045x = 106,023,825,769
  5. Step 5: Solve for x
    x = 106,023,825,769/148,045
  6. Step 6: Final answer
    x = 716,159.45

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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.