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Finding the Third Proportional to 186,724 and 403,088

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Solution

The third proportional to 186,724 and 403,088 is: 870,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,724 : 403,088 = 403,088 : x
  2. Step 2: Convert to fraction form
    186,724/403,088 = 403,088/x
  3. Step 3: Cross multiply
    186,724x = 403,088 × 403,088
  4. Step 4: Simplify right side
    186,724x = 162,479,935,744
  5. Step 5: Solve for x
    x = 162,479,935,744/186,724
  6. Step 6: Final answer
    x = 870,160.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.