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Finding the Third Proportional to 121,030 and 265,952

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Solution

The third proportional to 121,030 and 265,952 is: 584,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,030 : 265,952 = 265,952 : x
  2. Step 2: Convert to fraction form
    121,030/265,952 = 265,952/x
  3. Step 3: Cross multiply
    121,030x = 265,952 × 265,952
  4. Step 4: Simplify right side
    121,030x = 70,730,466,304
  5. Step 5: Solve for x
    x = 70,730,466,304/121,030
  6. Step 6: Final answer
    x = 584,404.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.