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Finding the Third Proportional to 145,248.75 and 314,616.75

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Solution

The third proportional to 145,248.75 and 314,616.75 is: 681,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,248.75 : 314,616.75 = 314,616.75 : x
  2. Step 2: Convert to fraction form
    145,248.75/314,616.75 = 314,616.75/x
  3. Step 3: Cross multiply
    145,248.75x = 314,616.75 × 314,616.75
  4. Step 4: Simplify right side
    145,248.75x = 98,983,699,380.56
  5. Step 5: Solve for x
    x = 98,983,699,380.56/145,248.75
  6. Step 6: Final answer
    x = 681,477.12

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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.