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Finding the Third Proportional to 144,856.50 and 312,069

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Solution

The third proportional to 144,856.50 and 312,069 is: 672,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,856.50 : 312,069 = 312,069 : x
  2. Step 2: Convert to fraction form
    144,856.50/312,069 = 312,069/x
  3. Step 3: Cross multiply
    144,856.50x = 312,069 × 312,069
  4. Step 4: Simplify right side
    144,856.50x = 97,387,060,761
  5. Step 5: Solve for x
    x = 97,387,060,761/144,856.50
  6. Step 6: Final answer
    x = 672,300.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.