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Finding the Third Proportional to 127,294 and 265,046

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Solution

The third proportional to 127,294 and 265,046 is: 551,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,294 : 265,046 = 265,046 : x
  2. Step 2: Convert to fraction form
    127,294/265,046 = 265,046/x
  3. Step 3: Cross multiply
    127,294x = 265,046 × 265,046
  4. Step 4: Simplify right side
    127,294x = 70,249,382,116
  5. Step 5: Solve for x
    x = 70,249,382,116/127,294
  6. Step 6: Final answer
    x = 551,867.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.