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Finding the Third Proportional to 186,703.50 and 409,695

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Solution

The third proportional to 186,703.50 and 409,695 is: 899,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,703.50 : 409,695 = 409,695 : x
  2. Step 2: Convert to fraction form
    186,703.50/409,695 = 409,695/x
  3. Step 3: Cross multiply
    186,703.50x = 409,695 × 409,695
  4. Step 4: Simplify right side
    186,703.50x = 167,849,993,025
  5. Step 5: Solve for x
    x = 167,849,993,025/186,703.50
  6. Step 6: Final answer
    x = 899,019.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.