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Finding the Third Proportional to 201,698 and 429,890

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Solution

The third proportional to 201,698 and 429,890 is: 916,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698 : 429,890 = 429,890 : x
  2. Step 2: Convert to fraction form
    201,698/429,890 = 429,890/x
  3. Step 3: Cross multiply
    201,698x = 429,890 × 429,890
  4. Step 4: Simplify right side
    201,698x = 184,805,412,100
  5. Step 5: Solve for x
    x = 184,805,412,100/201,698
  6. Step 6: Final answer
    x = 916,248.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.