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Finding the Third Proportional to 145,570 and 318,206

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Solution

The third proportional to 145,570 and 318,206 is: 695,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,570 : 318,206 = 318,206 : x
  2. Step 2: Convert to fraction form
    145,570/318,206 = 318,206/x
  3. Step 3: Cross multiply
    145,570x = 318,206 × 318,206
  4. Step 4: Simplify right side
    145,570x = 101,255,058,436
  5. Step 5: Solve for x
    x = 101,255,058,436/145,570
  6. Step 6: Final answer
    x = 695,576.41

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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.