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Finding the Third Proportional to 158,065 and 242,360

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Solution

The third proportional to 158,065 and 242,360 is: 371,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,065 : 242,360 = 242,360 : x
  2. Step 2: Convert to fraction form
    158,065/242,360 = 242,360/x
  3. Step 3: Cross multiply
    158,065x = 242,360 × 242,360
  4. Step 4: Simplify right side
    158,065x = 58,738,369,600
  5. Step 5: Solve for x
    x = 58,738,369,600/158,065
  6. Step 6: Final answer
    x = 371,608.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.