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Finding the Third Proportional to 147,546 and 316,130

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Solution

The third proportional to 147,546 and 316,130 is: 677,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,546 : 316,130 = 316,130 : x
  2. Step 2: Convert to fraction form
    147,546/316,130 = 316,130/x
  3. Step 3: Cross multiply
    147,546x = 316,130 × 316,130
  4. Step 4: Simplify right side
    147,546x = 99,938,176,900
  5. Step 5: Solve for x
    x = 99,938,176,900/147,546
  6. Step 6: Final answer
    x = 677,335.73

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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.