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Finding the Third Proportional to 145,608 and 318,156

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Solution

The third proportional to 145,608 and 318,156 is: 695,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,608 : 318,156 = 318,156 : x
  2. Step 2: Convert to fraction form
    145,608/318,156 = 318,156/x
  3. Step 3: Cross multiply
    145,608x = 318,156 × 318,156
  4. Step 4: Simplify right side
    145,608x = 101,223,240,336
  5. Step 5: Solve for x
    x = 101,223,240,336/145,608
  6. Step 6: Final answer
    x = 695,176.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.