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Finding the Third Proportional to 153,748 and 224,670

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Solution

The third proportional to 153,748 and 224,670 is: 328,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,748 : 224,670 = 224,670 : x
  2. Step 2: Convert to fraction form
    153,748/224,670 = 224,670/x
  3. Step 3: Cross multiply
    153,748x = 224,670 × 224,670
  4. Step 4: Simplify right side
    153,748x = 50,476,608,900
  5. Step 5: Solve for x
    x = 50,476,608,900/153,748
  6. Step 6: Final answer
    x = 328,307.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.