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Finding the Third Proportional to 141,061.50 and 301,532.63

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Solution

The third proportional to 141,061.50 and 301,532.63 is: 644,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,061.50 : 301,532.63 = 301,532.63 : x
  2. Step 2: Convert to fraction form
    141,061.50/301,532.63 = 301,532.63/x
  3. Step 3: Cross multiply
    141,061.50x = 301,532.63 × 301,532.63
  4. Step 4: Simplify right side
    141,061.50x = 90,921,923,939.39
  5. Step 5: Solve for x
    x = 90,921,923,939.39/141,061.50
  6. Step 6: Final answer
    x = 644,555.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.