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Finding the Third Proportional to 167,537 and 361,316

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Solution

The third proportional to 167,537 and 361,316 is: 779,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,537 : 361,316 = 361,316 : x
  2. Step 2: Convert to fraction form
    167,537/361,316 = 361,316/x
  3. Step 3: Cross multiply
    167,537x = 361,316 × 361,316
  4. Step 4: Simplify right side
    167,537x = 130,549,251,856
  5. Step 5: Solve for x
    x = 130,549,251,856/167,537
  6. Step 6: Final answer
    x = 779,226.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.