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Finding the Third Proportional to 153,031.78 and 328,176.56

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Solution

The third proportional to 153,031.78 and 328,176.56 is: 703,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,031.78 : 328,176.56 = 328,176.56 : x
  2. Step 2: Convert to fraction form
    153,031.78/328,176.56 = 328,176.56/x
  3. Step 3: Cross multiply
    153,031.78x = 328,176.56 × 328,176.56
  4. Step 4: Simplify right side
    153,031.78x = 107,699,856,174.32
  5. Step 5: Solve for x
    x = 107,699,856,174.32/153,031.78
  6. Step 6: Final answer
    x = 703,774.44

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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.