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Finding the Third Proportional to 147,666 and 316,338

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Solution

The third proportional to 147,666 and 316,338 is: 677,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,666 : 316,338 = 316,338 : x
  2. Step 2: Convert to fraction form
    147,666/316,338 = 316,338/x
  3. Step 3: Cross multiply
    147,666x = 316,338 × 316,338
  4. Step 4: Simplify right side
    147,666x = 100,069,730,244
  5. Step 5: Solve for x
    x = 100,069,730,244/147,666
  6. Step 6: Final answer
    x = 677,676.18

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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.