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Finding the Third Proportional to 187,683 and 390,897.75

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Solution

The third proportional to 187,683 and 390,897.75 is: 814,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,683 : 390,897.75 = 390,897.75 : x
  2. Step 2: Convert to fraction form
    187,683/390,897.75 = 390,897.75/x
  3. Step 3: Cross multiply
    187,683x = 390,897.75 × 390,897.75
  4. Step 4: Simplify right side
    187,683x = 152,801,050,955.06
  5. Step 5: Solve for x
    x = 152,801,050,955.06/187,683
  6. Step 6: Final answer
    x = 814,144.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.