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Finding the Third Proportional to 195,498 and 425,988

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Solution

The third proportional to 195,498 and 425,988 is: 928,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,498 : 425,988 = 425,988 : x
  2. Step 2: Convert to fraction form
    195,498/425,988 = 425,988/x
  3. Step 3: Cross multiply
    195,498x = 425,988 × 425,988
  4. Step 4: Simplify right side
    195,498x = 181,465,776,144
  5. Step 5: Solve for x
    x = 181,465,776,144/195,498
  6. Step 6: Final answer
    x = 928,223.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.