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Finding the Third Proportional to 159,476 and 343,528

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Solution

The third proportional to 159,476 and 343,528 is: 739,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,476 : 343,528 = 343,528 : x
  2. Step 2: Convert to fraction form
    159,476/343,528 = 343,528/x
  3. Step 3: Cross multiply
    159,476x = 343,528 × 343,528
  4. Step 4: Simplify right side
    159,476x = 118,011,486,784
  5. Step 5: Solve for x
    x = 118,011,486,784/159,476
  6. Step 6: Final answer
    x = 739,995.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.