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Finding the Third Proportional to 201,681 and 429,858

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Solution

The third proportional to 201,681 and 429,858 is: 916,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,681 : 429,858 = 429,858 : x
  2. Step 2: Convert to fraction form
    201,681/429,858 = 429,858/x
  3. Step 3: Cross multiply
    201,681x = 429,858 × 429,858
  4. Step 4: Simplify right side
    201,681x = 184,777,900,164
  5. Step 5: Solve for x
    x = 184,777,900,164/201,681
  6. Step 6: Final answer
    x = 916,188.93

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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.