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Finding the Third Proportional to 172,592 and 377,248

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Solution

The third proportional to 172,592 and 377,248 is: 824,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,592 : 377,248 = 377,248 : x
  2. Step 2: Convert to fraction form
    172,592/377,248 = 377,248/x
  3. Step 3: Cross multiply
    172,592x = 377,248 × 377,248
  4. Step 4: Simplify right side
    172,592x = 142,316,053,504
  5. Step 5: Solve for x
    x = 142,316,053,504/172,592
  6. Step 6: Final answer
    x = 824,580.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.