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Finding the Third Proportional to 145,350 and 312,960

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Solution

The third proportional to 145,350 and 312,960 is: 673,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,350 : 312,960 = 312,960 : x
  2. Step 2: Convert to fraction form
    145,350/312,960 = 312,960/x
  3. Step 3: Cross multiply
    145,350x = 312,960 × 312,960
  4. Step 4: Simplify right side
    145,350x = 97,943,961,600
  5. Step 5: Solve for x
    x = 97,943,961,600/145,350
  6. Step 6: Final answer
    x = 673,849.07

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Why These Related Problems?

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