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Finding the Third Proportional to 125,670 and 296,431.50

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Solution

The third proportional to 125,670 and 296,431.50 is: 699,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,670 : 296,431.50 = 296,431.50 : x
  2. Step 2: Convert to fraction form
    125,670/296,431.50 = 296,431.50/x
  3. Step 3: Cross multiply
    125,670x = 296,431.50 × 296,431.50
  4. Step 4: Simplify right side
    125,670x = 87,871,634,192.25
  5. Step 5: Solve for x
    x = 87,871,634,192.25/125,670
  6. Step 6: Final answer
    x = 699,225.23

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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.