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Finding the Third Proportional to 186,273 and 403,650

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Solution

The third proportional to 186,273 and 403,650 is: 874,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,273 : 403,650 = 403,650 : x
  2. Step 2: Convert to fraction form
    186,273/403,650 = 403,650/x
  3. Step 3: Cross multiply
    186,273x = 403,650 × 403,650
  4. Step 4: Simplify right side
    186,273x = 162,933,322,500
  5. Step 5: Solve for x
    x = 162,933,322,500/186,273
  6. Step 6: Final answer
    x = 874,701.77

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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.