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Finding the Third Proportional to 186,080 and 403,360

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Solution

The third proportional to 186,080 and 403,360 is: 874,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,080 : 403,360 = 403,360 : x
  2. Step 2: Convert to fraction form
    186,080/403,360 = 403,360/x
  3. Step 3: Cross multiply
    186,080x = 403,360 × 403,360
  4. Step 4: Simplify right side
    186,080x = 162,699,289,600
  5. Step 5: Solve for x
    x = 162,699,289,600/186,080
  6. Step 6: Final answer
    x = 874,351.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.