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Finding the Third Proportional to 172,762 and 377,437

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Solution

The third proportional to 172,762 and 377,437 is: 824,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,762 : 377,437 = 377,437 : x
  2. Step 2: Convert to fraction form
    172,762/377,437 = 377,437/x
  3. Step 3: Cross multiply
    172,762x = 377,437 × 377,437
  4. Step 4: Simplify right side
    172,762x = 142,458,688,969
  5. Step 5: Solve for x
    x = 142,458,688,969/172,762
  6. Step 6: Final answer
    x = 824,595.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.