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Finding the Third Proportional to 186,319 and 402,401.50

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Solution

The third proportional to 186,319 and 402,401.50 is: 869,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,319 : 402,401.50 = 402,401.50 : x
  2. Step 2: Convert to fraction form
    186,319/402,401.50 = 402,401.50/x
  3. Step 3: Cross multiply
    186,319x = 402,401.50 × 402,401.50
  4. Step 4: Simplify right side
    186,319x = 161,926,967,202.25
  5. Step 5: Solve for x
    x = 161,926,967,202.25/186,319
  6. Step 6: Final answer
    x = 869,084.57

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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.