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Finding the Third Proportional to 191,576 and 416,312

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Solution

The third proportional to 191,576 and 416,312 is: 904,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,576 : 416,312 = 416,312 : x
  2. Step 2: Convert to fraction form
    191,576/416,312 = 416,312/x
  3. Step 3: Cross multiply
    191,576x = 416,312 × 416,312
  4. Step 4: Simplify right side
    191,576x = 173,315,681,344
  5. Step 5: Solve for x
    x = 173,315,681,344/191,576
  6. Step 6: Final answer
    x = 904,683.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.