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Finding the Third Proportional to 162,870 and 353,580

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Solution

The third proportional to 162,870 and 353,580 is: 767,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,870 : 353,580 = 353,580 : x
  2. Step 2: Convert to fraction form
    162,870/353,580 = 353,580/x
  3. Step 3: Cross multiply
    162,870x = 353,580 × 353,580
  4. Step 4: Simplify right side
    162,870x = 125,018,816,400
  5. Step 5: Solve for x
    x = 125,018,816,400/162,870
  6. Step 6: Final answer
    x = 767,598.80

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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.