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Finding the Third Proportional to 139,914 and 299,776

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Solution

The third proportional to 139,914 and 299,776 is: 642,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,914 : 299,776 = 299,776 : x
  2. Step 2: Convert to fraction form
    139,914/299,776 = 299,776/x
  3. Step 3: Cross multiply
    139,914x = 299,776 × 299,776
  4. Step 4: Simplify right side
    139,914x = 89,865,650,176
  5. Step 5: Solve for x
    x = 89,865,650,176/139,914
  6. Step 6: Final answer
    x = 642,292.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.