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Finding the Third Proportional to 121,364 and 264,032

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Solution

The third proportional to 121,364 and 264,032 is: 574,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,364 : 264,032 = 264,032 : x
  2. Step 2: Convert to fraction form
    121,364/264,032 = 264,032/x
  3. Step 3: Cross multiply
    121,364x = 264,032 × 264,032
  4. Step 4: Simplify right side
    121,364x = 69,712,897,024
  5. Step 5: Solve for x
    x = 69,712,897,024/121,364
  6. Step 6: Final answer
    x = 574,411.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.