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Finding the Third Proportional to 164,808 and 316,488

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Solution

The third proportional to 164,808 and 316,488 is: 607,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,808 : 316,488 = 316,488 : x
  2. Step 2: Convert to fraction form
    164,808/316,488 = 316,488/x
  3. Step 3: Cross multiply
    164,808x = 316,488 × 316,488
  4. Step 4: Simplify right side
    164,808x = 100,164,654,144
  5. Step 5: Solve for x
    x = 100,164,654,144/164,808
  6. Step 6: Final answer
    x = 607,765.73

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.