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Finding the Third Proportional to 144,822 and 202,320

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Solution

The third proportional to 144,822 and 202,320 is: 282,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,822 : 202,320 = 202,320 : x
  2. Step 2: Convert to fraction form
    144,822/202,320 = 202,320/x
  3. Step 3: Cross multiply
    144,822x = 202,320 × 202,320
  4. Step 4: Simplify right side
    144,822x = 40,933,382,400
  5. Step 5: Solve for x
    x = 40,933,382,400/144,822
  6. Step 6: Final answer
    x = 282,646.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.