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Finding the Third Proportional to 186,321.94 and 402,407.16

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Solution

The third proportional to 186,321.94 and 402,407.16 is: 869,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,321.94 : 402,407.16 = 402,407.16 : x
  2. Step 2: Convert to fraction form
    186,321.94/402,407.16 = 402,407.16/x
  3. Step 3: Cross multiply
    186,321.94x = 402,407.16 × 402,407.16
  4. Step 4: Simplify right side
    186,321.94x = 161,931,519,401.21
  5. Step 5: Solve for x
    x = 161,931,519,401.21/186,321.94
  6. Step 6: Final answer
    x = 869,095.30

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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.