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Finding the Third Proportional to 174,294 and 269,271

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Solution

The third proportional to 174,294 and 269,271 is: 416,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,294 : 269,271 = 269,271 : x
  2. Step 2: Convert to fraction form
    174,294/269,271 = 269,271/x
  3. Step 3: Cross multiply
    174,294x = 269,271 × 269,271
  4. Step 4: Simplify right side
    174,294x = 72,506,871,441
  5. Step 5: Solve for x
    x = 72,506,871,441/174,294
  6. Step 6: Final answer
    x = 416,003.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.