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Finding the Third Proportional to 147,788 and 316,580

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Solution

The third proportional to 147,788 and 316,580 is: 678,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,788 : 316,580 = 316,580 : x
  2. Step 2: Convert to fraction form
    147,788/316,580 = 316,580/x
  3. Step 3: Cross multiply
    147,788x = 316,580 × 316,580
  4. Step 4: Simplify right side
    147,788x = 100,222,896,400
  5. Step 5: Solve for x
    x = 100,222,896,400/147,788
  6. Step 6: Final answer
    x = 678,153.14

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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.