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Finding the Third Proportional to 186,478 and 286,794

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Solution

The third proportional to 186,478 and 286,794 is: 441,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,478 : 286,794 = 286,794 : x
  2. Step 2: Convert to fraction form
    186,478/286,794 = 286,794/x
  3. Step 3: Cross multiply
    186,478x = 286,794 × 286,794
  4. Step 4: Simplify right side
    186,478x = 82,250,798,436
  5. Step 5: Solve for x
    x = 82,250,798,436/186,478
  6. Step 6: Final answer
    x = 441,075.08

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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.