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Finding the Third Proportional to 162,136 and 242,548

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Solution

The third proportional to 162,136 and 242,548 is: 362,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,136 : 242,548 = 242,548 : x
  2. Step 2: Convert to fraction form
    162,136/242,548 = 242,548/x
  3. Step 3: Cross multiply
    162,136x = 242,548 × 242,548
  4. Step 4: Simplify right side
    162,136x = 58,829,532,304
  5. Step 5: Solve for x
    x = 58,829,532,304/162,136
  6. Step 6: Final answer
    x = 362,840.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.