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Finding the Third Proportional to 145,830 and 224,957

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Solution

The third proportional to 145,830 and 224,957 is: 347,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830 : 224,957 = 224,957 : x
  2. Step 2: Convert to fraction form
    145,830/224,957 = 224,957/x
  3. Step 3: Cross multiply
    145,830x = 224,957 × 224,957
  4. Step 4: Simplify right side
    145,830x = 50,605,651,849
  5. Step 5: Solve for x
    x = 50,605,651,849/145,830
  6. Step 6: Final answer
    x = 347,018.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.