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Finding the Third Proportional to 186,473 and 286,788

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Solution

The third proportional to 186,473 and 286,788 is: 441,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,473 : 286,788 = 286,788 : x
  2. Step 2: Convert to fraction form
    186,473/286,788 = 286,788/x
  3. Step 3: Cross multiply
    186,473x = 286,788 × 286,788
  4. Step 4: Simplify right side
    186,473x = 82,247,356,944
  5. Step 5: Solve for x
    x = 82,247,356,944/186,473
  6. Step 6: Final answer
    x = 441,068.45

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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.