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Finding the Third Proportional to 191,808 and 416,232

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Solution

The third proportional to 191,808 and 416,232 is: 903,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,808 : 416,232 = 416,232 : x
  2. Step 2: Convert to fraction form
    191,808/416,232 = 416,232/x
  3. Step 3: Cross multiply
    191,808x = 416,232 × 416,232
  4. Step 4: Simplify right side
    191,808x = 173,249,077,824
  5. Step 5: Solve for x
    x = 173,249,077,824/191,808
  6. Step 6: Final answer
    x = 903,242.19

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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.