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Finding the Third Proportional to 160,035 and 348,870

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Solution

The third proportional to 160,035 and 348,870 is: 760,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,035 : 348,870 = 348,870 : x
  2. Step 2: Convert to fraction form
    160,035/348,870 = 348,870/x
  3. Step 3: Cross multiply
    160,035x = 348,870 × 348,870
  4. Step 4: Simplify right side
    160,035x = 121,710,276,900
  5. Step 5: Solve for x
    x = 121,710,276,900/160,035
  6. Step 6: Final answer
    x = 760,522.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.