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Finding the Third Proportional to 174,346 and 269,402

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Solution

The third proportional to 174,346 and 269,402 is: 416,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,346 : 269,402 = 269,402 : x
  2. Step 2: Convert to fraction form
    174,346/269,402 = 269,402/x
  3. Step 3: Cross multiply
    174,346x = 269,402 × 269,402
  4. Step 4: Simplify right side
    174,346x = 72,577,437,604
  5. Step 5: Solve for x
    x = 72,577,437,604/174,346
  6. Step 6: Final answer
    x = 416,283.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.