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Finding the Third Proportional to 145,027.50 and 314,250

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Solution

The third proportional to 145,027.50 and 314,250 is: 680,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,027.50 : 314,250 = 314,250 : x
  2. Step 2: Convert to fraction form
    145,027.50/314,250 = 314,250/x
  3. Step 3: Cross multiply
    145,027.50x = 314,250 × 314,250
  4. Step 4: Simplify right side
    145,027.50x = 98,753,062,500
  5. Step 5: Solve for x
    x = 98,753,062,500/145,027.50
  6. Step 6: Final answer
    x = 680,926.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.