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Finding the Third Proportional to 132,206 and 201,407

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Solution

The third proportional to 132,206 and 201,407 is: 306,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,206 : 201,407 = 201,407 : x
  2. Step 2: Convert to fraction form
    132,206/201,407 = 201,407/x
  3. Step 3: Cross multiply
    132,206x = 201,407 × 201,407
  4. Step 4: Simplify right side
    132,206x = 40,564,779,649
  5. Step 5: Solve for x
    x = 40,564,779,649/132,206
  6. Step 6: Final answer
    x = 306,830.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.