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Finding the Third Proportional to 162,153 and 242,560

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Solution

The third proportional to 162,153 and 242,560 is: 362,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,153 : 242,560 = 242,560 : x
  2. Step 2: Convert to fraction form
    162,153/242,560 = 242,560/x
  3. Step 3: Cross multiply
    162,153x = 242,560 × 242,560
  4. Step 4: Simplify right side
    162,153x = 58,835,353,600
  5. Step 5: Solve for x
    x = 58,835,353,600/162,153
  6. Step 6: Final answer
    x = 362,838.51

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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.