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Finding the Third Proportional to 178,552 and 242,222

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Solution

The third proportional to 178,552 and 242,222 is: 328,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,552 : 242,222 = 242,222 : x
  2. Step 2: Convert to fraction form
    178,552/242,222 = 242,222/x
  3. Step 3: Cross multiply
    178,552x = 242,222 × 242,222
  4. Step 4: Simplify right side
    178,552x = 58,671,497,284
  5. Step 5: Solve for x
    x = 58,671,497,284/178,552
  6. Step 6: Final answer
    x = 328,596.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.