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Finding the Third Proportional to 201,432 and 296,580

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Solution

The third proportional to 201,432 and 296,580 is: 436,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,432 : 296,580 = 296,580 : x
  2. Step 2: Convert to fraction form
    201,432/296,580 = 296,580/x
  3. Step 3: Cross multiply
    201,432x = 296,580 × 296,580
  4. Step 4: Simplify right side
    201,432x = 87,959,696,400
  5. Step 5: Solve for x
    x = 87,959,696,400/201,432
  6. Step 6: Final answer
    x = 436,671.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.