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Finding the Third Proportional to 121,365 and 266,058

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Solution

The third proportional to 121,365 and 266,058 is: 583,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,365 : 266,058 = 266,058 : x
  2. Step 2: Convert to fraction form
    121,365/266,058 = 266,058/x
  3. Step 3: Cross multiply
    121,365x = 266,058 × 266,058
  4. Step 4: Simplify right side
    121,365x = 70,786,859,364
  5. Step 5: Solve for x
    x = 70,786,859,364/121,365
  6. Step 6: Final answer
    x = 583,255.96

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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.