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Finding the Third Proportional to 144,903.38 and 315,580.50

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Solution

The third proportional to 144,903.38 and 315,580.50 is: 687,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,903.38 : 315,580.50 = 315,580.50 : x
  2. Step 2: Convert to fraction form
    144,903.38/315,580.50 = 315,580.50/x
  3. Step 3: Cross multiply
    144,903.38x = 315,580.50 × 315,580.50
  4. Step 4: Simplify right side
    144,903.38x = 99,591,051,980.25
  5. Step 5: Solve for x
    x = 99,591,051,980.25/144,903.38
  6. Step 6: Final answer
    x = 687,292.84

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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.