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Finding the Third Proportional to 153,360 and 235,632

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Solution

The third proportional to 153,360 and 235,632 is: 362,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,360 : 235,632 = 235,632 : x
  2. Step 2: Convert to fraction form
    153,360/235,632 = 235,632/x
  3. Step 3: Cross multiply
    153,360x = 235,632 × 235,632
  4. Step 4: Simplify right side
    153,360x = 55,522,439,424
  5. Step 5: Solve for x
    x = 55,522,439,424/153,360
  6. Step 6: Final answer
    x = 362,039.90

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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.