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Finding the Third Proportional to 141,882 and 296,905.50

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Solution

The third proportional to 141,882 and 296,905.50 is: 621,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,882 : 296,905.50 = 296,905.50 : x
  2. Step 2: Convert to fraction form
    141,882/296,905.50 = 296,905.50/x
  3. Step 3: Cross multiply
    141,882x = 296,905.50 × 296,905.50
  4. Step 4: Simplify right side
    141,882x = 88,152,875,930.25
  5. Step 5: Solve for x
    x = 88,152,875,930.25/141,882
  6. Step 6: Final answer
    x = 621,311.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.