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Finding the Third Proportional to 121,730 and 264,890

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Solution

The third proportional to 121,730 and 264,890 is: 576,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,730 : 264,890 = 264,890 : x
  2. Step 2: Convert to fraction form
    121,730/264,890 = 264,890/x
  3. Step 3: Cross multiply
    121,730x = 264,890 × 264,890
  4. Step 4: Simplify right side
    121,730x = 70,166,712,100
  5. Step 5: Solve for x
    x = 70,166,712,100/121,730
  6. Step 6: Final answer
    x = 576,412.65

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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.