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Finding the Third Proportional to 144,259.50 and 315,087

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Solution

The third proportional to 144,259.50 and 315,087 is: 688,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,259.50 : 315,087 = 315,087 : x
  2. Step 2: Convert to fraction form
    144,259.50/315,087 = 315,087/x
  3. Step 3: Cross multiply
    144,259.50x = 315,087 × 315,087
  4. Step 4: Simplify right side
    144,259.50x = 99,279,817,569
  5. Step 5: Solve for x
    x = 99,279,817,569/144,259.50
  6. Step 6: Final answer
    x = 688,202.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.