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Finding the Third Proportional to 63,360 and 147,328

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Solution

The third proportional to 63,360 and 147,328 is: 342,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,360 : 147,328 = 147,328 : x
  2. Step 2: Convert to fraction form
    63,360/147,328 = 147,328/x
  3. Step 3: Cross multiply
    63,360x = 147,328 × 147,328
  4. Step 4: Simplify right side
    63,360x = 21,705,539,584
  5. Step 5: Solve for x
    x = 21,705,539,584/63,360
  6. Step 6: Final answer
    x = 342,574.80

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.