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Finding the Third Proportional to 121,348 and 265,352

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Solution

The third proportional to 121,348 and 265,352 is: 580,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,348 : 265,352 = 265,352 : x
  2. Step 2: Convert to fraction form
    121,348/265,352 = 265,352/x
  3. Step 3: Cross multiply
    121,348x = 265,352 × 265,352
  4. Step 4: Simplify right side
    121,348x = 70,411,683,904
  5. Step 5: Solve for x
    x = 70,411,683,904/121,348
  6. Step 6: Final answer
    x = 580,245.94

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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.