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Finding the Third Proportional to 145,678.50 and 325,255.50

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Solution

The third proportional to 145,678.50 and 325,255.50 is: 726,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,678.50 : 325,255.50 = 325,255.50 : x
  2. Step 2: Convert to fraction form
    145,678.50/325,255.50 = 325,255.50/x
  3. Step 3: Cross multiply
    145,678.50x = 325,255.50 × 325,255.50
  4. Step 4: Simplify right side
    145,678.50x = 105,791,140,280.25
  5. Step 5: Solve for x
    x = 105,791,140,280.25/145,678.50
  6. Step 6: Final answer
    x = 726,195.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.