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Finding the Third Proportional to 145,157.50 and 296,146.75

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Solution

The third proportional to 145,157.50 and 296,146.75 is: 604,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,157.50 : 296,146.75 = 296,146.75 : x
  2. Step 2: Convert to fraction form
    145,157.50/296,146.75 = 296,146.75/x
  3. Step 3: Cross multiply
    145,157.50x = 296,146.75 × 296,146.75
  4. Step 4: Simplify right side
    145,157.50x = 87,702,897,535.56
  5. Step 5: Solve for x
    x = 87,702,897,535.56/145,157.50
  6. Step 6: Final answer
    x = 604,191.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.