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Finding the Third Proportional to 186,268.50 and 402,303

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Solution

The third proportional to 186,268.50 and 402,303 is: 868,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,268.50 : 402,303 = 402,303 : x
  2. Step 2: Convert to fraction form
    186,268.50/402,303 = 402,303/x
  3. Step 3: Cross multiply
    186,268.50x = 402,303 × 402,303
  4. Step 4: Simplify right side
    186,268.50x = 161,847,703,809
  5. Step 5: Solve for x
    x = 161,847,703,809/186,268.50
  6. Step 6: Final answer
    x = 868,894.65

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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.