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Finding the Third Proportional to 144,382.50 and 297,970.50

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Solution

The third proportional to 144,382.50 and 297,970.50 is: 614,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,382.50 : 297,970.50 = 297,970.50 : x
  2. Step 2: Convert to fraction form
    144,382.50/297,970.50 = 297,970.50/x
  3. Step 3: Cross multiply
    144,382.50x = 297,970.50 × 297,970.50
  4. Step 4: Simplify right side
    144,382.50x = 88,786,418,870.25
  5. Step 5: Solve for x
    x = 88,786,418,870.25/144,382.50
  6. Step 6: Final answer
    x = 614,938.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.