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Finding the Third Proportional to 175,480 and 256,664

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Solution

The third proportional to 175,480 and 256,664 is: 375,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,480 : 256,664 = 256,664 : x
  2. Step 2: Convert to fraction form
    175,480/256,664 = 256,664/x
  3. Step 3: Cross multiply
    175,480x = 256,664 × 256,664
  4. Step 4: Simplify right side
    175,480x = 65,876,408,896
  5. Step 5: Solve for x
    x = 65,876,408,896/175,480
  6. Step 6: Final answer
    x = 375,406.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.