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Finding the Third Proportional to 139,548 and 286,440

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Solution

The third proportional to 139,548 and 286,440 is: 587,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,548 : 286,440 = 286,440 : x
  2. Step 2: Convert to fraction form
    139,548/286,440 = 286,440/x
  3. Step 3: Cross multiply
    139,548x = 286,440 × 286,440
  4. Step 4: Simplify right side
    139,548x = 82,047,873,600
  5. Step 5: Solve for x
    x = 82,047,873,600/139,548
  6. Step 6: Final answer
    x = 587,954.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.