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Finding the Third Proportional to 121,464 and 266,328

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Solution

The third proportional to 121,464 and 266,328 is: 583,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,464 : 266,328 = 266,328 : x
  2. Step 2: Convert to fraction form
    121,464/266,328 = 266,328/x
  3. Step 3: Cross multiply
    121,464x = 266,328 × 266,328
  4. Step 4: Simplify right side
    121,464x = 70,930,603,584
  5. Step 5: Solve for x
    x = 70,930,603,584/121,464
  6. Step 6: Final answer
    x = 583,964.00

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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.