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Finding the Third Proportional to 190,264.50 and 409,959

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Solution

The third proportional to 190,264.50 and 409,959 is: 883,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,264.50 : 409,959 = 409,959 : x
  2. Step 2: Convert to fraction form
    190,264.50/409,959 = 409,959/x
  3. Step 3: Cross multiply
    190,264.50x = 409,959 × 409,959
  4. Step 4: Simplify right side
    190,264.50x = 168,066,381,681
  5. Step 5: Solve for x
    x = 168,066,381,681/190,264.50
  6. Step 6: Final answer
    x = 883,330.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.