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Finding the Third Proportional to 159,556 and 345,528

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Solution

The third proportional to 159,556 and 345,528 is: 748,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,556 : 345,528 = 345,528 : x
  2. Step 2: Convert to fraction form
    159,556/345,528 = 345,528/x
  3. Step 3: Cross multiply
    159,556x = 345,528 × 345,528
  4. Step 4: Simplify right side
    159,556x = 119,389,598,784
  5. Step 5: Solve for x
    x = 119,389,598,784/159,556
  6. Step 6: Final answer
    x = 748,261.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.