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Finding the Third Proportional to 145,874 and 208,587

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Solution

The third proportional to 145,874 and 208,587 is: 298,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,874 : 208,587 = 208,587 : x
  2. Step 2: Convert to fraction form
    145,874/208,587 = 208,587/x
  3. Step 3: Cross multiply
    145,874x = 208,587 × 208,587
  4. Step 4: Simplify right side
    145,874x = 43,508,536,569
  5. Step 5: Solve for x
    x = 43,508,536,569/145,874
  6. Step 6: Final answer
    x = 298,261.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.