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Finding the Third Proportional to 186,906 and 293,748

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Solution

The third proportional to 186,906 and 293,748 is: 461,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,906 : 293,748 = 293,748 : x
  2. Step 2: Convert to fraction form
    186,906/293,748 = 293,748/x
  3. Step 3: Cross multiply
    186,906x = 293,748 × 293,748
  4. Step 4: Simplify right side
    186,906x = 86,287,887,504
  5. Step 5: Solve for x
    x = 86,287,887,504/186,906
  6. Step 6: Final answer
    x = 461,664.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.