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Finding the Third Proportional to 162,854 and 352,060

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Solution

The third proportional to 162,854 and 352,060 is: 761,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,854 : 352,060 = 352,060 : x
  2. Step 2: Convert to fraction form
    162,854/352,060 = 352,060/x
  3. Step 3: Cross multiply
    162,854x = 352,060 × 352,060
  4. Step 4: Simplify right side
    162,854x = 123,946,243,600
  5. Step 5: Solve for x
    x = 123,946,243,600/162,854
  6. Step 6: Final answer
    x = 761,088.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.