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Finding the Third Proportional to 145,605.50 and 318,151

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Solution

The third proportional to 145,605.50 and 318,151 is: 695,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605.50 : 318,151 = 318,151 : x
  2. Step 2: Convert to fraction form
    145,605.50/318,151 = 318,151/x
  3. Step 3: Cross multiply
    145,605.50x = 318,151 × 318,151
  4. Step 4: Simplify right side
    145,605.50x = 101,220,058,801
  5. Step 5: Solve for x
    x = 101,220,058,801/145,605.50
  6. Step 6: Final answer
    x = 695,166.45

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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.