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Finding the Third Proportional to 139,484 and 256,045

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Solution

The third proportional to 139,484 and 256,045 is: 470,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,484 : 256,045 = 256,045 : x
  2. Step 2: Convert to fraction form
    139,484/256,045 = 256,045/x
  3. Step 3: Cross multiply
    139,484x = 256,045 × 256,045
  4. Step 4: Simplify right side
    139,484x = 65,559,042,025
  5. Step 5: Solve for x
    x = 65,559,042,025/139,484
  6. Step 6: Final answer
    x = 470,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.