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Finding the Third Proportional to 156,618 and 238,598

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Solution

The third proportional to 156,618 and 238,598 is: 363,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,618 : 238,598 = 238,598 : x
  2. Step 2: Convert to fraction form
    156,618/238,598 = 238,598/x
  3. Step 3: Cross multiply
    156,618x = 238,598 × 238,598
  4. Step 4: Simplify right side
    156,618x = 56,929,005,604
  5. Step 5: Solve for x
    x = 56,929,005,604/156,618
  6. Step 6: Final answer
    x = 363,489.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.