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Finding the Third Proportional to 170,127 and 366,829.50

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Solution

The third proportional to 170,127 and 366,829.50 is: 790,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,127 : 366,829.50 = 366,829.50 : x
  2. Step 2: Convert to fraction form
    170,127/366,829.50 = 366,829.50/x
  3. Step 3: Cross multiply
    170,127x = 366,829.50 × 366,829.50
  4. Step 4: Simplify right side
    170,127x = 134,563,882,070.25
  5. Step 5: Solve for x
    x = 134,563,882,070.25/170,127
  6. Step 6: Final answer
    x = 790,961.35

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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.