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Finding the Third Proportional to 147,842 and 316,132

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Solution

The third proportional to 147,842 and 316,132 is: 675,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,842 : 316,132 = 316,132 : x
  2. Step 2: Convert to fraction form
    147,842/316,132 = 316,132/x
  3. Step 3: Cross multiply
    147,842x = 316,132 × 316,132
  4. Step 4: Simplify right side
    147,842x = 99,939,441,424
  5. Step 5: Solve for x
    x = 99,939,441,424/147,842
  6. Step 6: Final answer
    x = 675,988.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.