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Finding the Third Proportional to 125,206 and 295,267.50

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Solution

The third proportional to 125,206 and 295,267.50 is: 696,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,206 : 295,267.50 = 295,267.50 : x
  2. Step 2: Convert to fraction form
    125,206/295,267.50 = 295,267.50/x
  3. Step 3: Cross multiply
    125,206x = 295,267.50 × 295,267.50
  4. Step 4: Simplify right side
    125,206x = 87,182,896,556.25
  5. Step 5: Solve for x
    x = 87,182,896,556.25/125,206
  6. Step 6: Final answer
    x = 696,315.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.