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Finding the Third Proportional to 186,788 and 256,854

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Solution

The third proportional to 186,788 and 256,854 is: 353,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,788 : 256,854 = 256,854 : x
  2. Step 2: Convert to fraction form
    186,788/256,854 = 256,854/x
  3. Step 3: Cross multiply
    186,788x = 256,854 × 256,854
  4. Step 4: Simplify right side
    186,788x = 65,973,977,316
  5. Step 5: Solve for x
    x = 65,973,977,316/186,788
  6. Step 6: Final answer
    x = 353,202.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.