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Finding the Third Proportional to 201,064.50 and 296,919

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Solution

The third proportional to 201,064.50 and 296,919 is: 438,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,064.50 : 296,919 = 296,919 : x
  2. Step 2: Convert to fraction form
    201,064.50/296,919 = 296,919/x
  3. Step 3: Cross multiply
    201,064.50x = 296,919 × 296,919
  4. Step 4: Simplify right side
    201,064.50x = 88,160,892,561
  5. Step 5: Solve for x
    x = 88,160,892,561/201,064.50
  6. Step 6: Final answer
    x = 438,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.