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Finding the Third Proportional to 186,475 and 286,791

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Solution

The third proportional to 186,475 and 286,791 is: 441,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,475 : 286,791 = 286,791 : x
  2. Step 2: Convert to fraction form
    186,475/286,791 = 286,791/x
  3. Step 3: Cross multiply
    186,475x = 286,791 × 286,791
  4. Step 4: Simplify right side
    186,475x = 82,249,077,681
  5. Step 5: Solve for x
    x = 82,249,077,681/186,475
  6. Step 6: Final answer
    x = 441,072.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.