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Finding the Third Proportional to 141,748 and 219,482

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Solution

The third proportional to 141,748 and 219,482 is: 339,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,748 : 219,482 = 219,482 : x
  2. Step 2: Convert to fraction form
    141,748/219,482 = 219,482/x
  3. Step 3: Cross multiply
    141,748x = 219,482 × 219,482
  4. Step 4: Simplify right side
    141,748x = 48,172,348,324
  5. Step 5: Solve for x
    x = 48,172,348,324/141,748
  6. Step 6: Final answer
    x = 339,844.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.