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Finding the Third Proportional to 120,430.69 and 262,314

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Solution

The third proportional to 120,430.69 and 262,314 is: 571,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,430.69 : 262,314 = 262,314 : x
  2. Step 2: Convert to fraction form
    120,430.69/262,314 = 262,314/x
  3. Step 3: Cross multiply
    120,430.69x = 262,314 × 262,314
  4. Step 4: Simplify right side
    120,430.69x = 68,808,634,596
  5. Step 5: Solve for x
    x = 68,808,634,596/120,430.69
  6. Step 6: Final answer
    x = 571,354.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.