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Finding the Third Proportional to 153,630 and 319,522

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Solution

The third proportional to 153,630 and 319,522 is: 664,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,630 : 319,522 = 319,522 : x
  2. Step 2: Convert to fraction form
    153,630/319,522 = 319,522/x
  3. Step 3: Cross multiply
    153,630x = 319,522 × 319,522
  4. Step 4: Simplify right side
    153,630x = 102,094,308,484
  5. Step 5: Solve for x
    x = 102,094,308,484/153,630
  6. Step 6: Final answer
    x = 664,546.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.