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Finding the Third Proportional to 160,428 and 348,569

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Solution

The third proportional to 160,428 and 348,569 is: 757,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,428 : 348,569 = 348,569 : x
  2. Step 2: Convert to fraction form
    160,428/348,569 = 348,569/x
  3. Step 3: Cross multiply
    160,428x = 348,569 × 348,569
  4. Step 4: Simplify right side
    160,428x = 121,500,347,761
  5. Step 5: Solve for x
    x = 121,500,347,761/160,428
  6. Step 6: Final answer
    x = 757,351.26

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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.