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Finding the Third Proportional to 141,248 and 224,832

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Solution

The third proportional to 141,248 and 224,832 is: 357,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,248 : 224,832 = 224,832 : x
  2. Step 2: Convert to fraction form
    141,248/224,832 = 224,832/x
  3. Step 3: Cross multiply
    141,248x = 224,832 × 224,832
  4. Step 4: Simplify right side
    141,248x = 50,549,428,224
  5. Step 5: Solve for x
    x = 50,549,428,224/141,248
  6. Step 6: Final answer
    x = 357,877.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.