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Finding the Third Proportional to 152,014.50 and 351,877.50

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Solution

The third proportional to 152,014.50 and 351,877.50 is: 814,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,014.50 : 351,877.50 = 351,877.50 : x
  2. Step 2: Convert to fraction form
    152,014.50/351,877.50 = 351,877.50/x
  3. Step 3: Cross multiply
    152,014.50x = 351,877.50 × 351,877.50
  4. Step 4: Simplify right side
    152,014.50x = 123,817,775,006.25
  5. Step 5: Solve for x
    x = 123,817,775,006.25/152,014.50
  6. Step 6: Final answer
    x = 814,512.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.