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Finding the Third Proportional to 170,316 and 361,381.50

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Solution

The third proportional to 170,316 and 361,381.50 is: 766,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,316 : 361,381.50 = 361,381.50 : x
  2. Step 2: Convert to fraction form
    170,316/361,381.50 = 361,381.50/x
  3. Step 3: Cross multiply
    170,316x = 361,381.50 × 361,381.50
  4. Step 4: Simplify right side
    170,316x = 130,596,588,542.25
  5. Step 5: Solve for x
    x = 130,596,588,542.25/170,316
  6. Step 6: Final answer
    x = 766,789.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.