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Finding the Third Proportional to 153,110 and 224,319

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Solution

The third proportional to 153,110 and 224,319 is: 328,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,110 : 224,319 = 224,319 : x
  2. Step 2: Convert to fraction form
    153,110/224,319 = 224,319/x
  3. Step 3: Cross multiply
    153,110x = 224,319 × 224,319
  4. Step 4: Simplify right side
    153,110x = 50,319,013,761
  5. Step 5: Solve for x
    x = 50,319,013,761/153,110
  6. Step 6: Final answer
    x = 328,646.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.