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Finding the Third Proportional to 191,030 and 416,296

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Solution

The third proportional to 191,030 and 416,296 is: 907,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,030 : 416,296 = 416,296 : x
  2. Step 2: Convert to fraction form
    191,030/416,296 = 416,296/x
  3. Step 3: Cross multiply
    191,030x = 416,296 × 416,296
  4. Step 4: Simplify right side
    191,030x = 173,302,359,616
  5. Step 5: Solve for x
    x = 173,302,359,616/191,030
  6. Step 6: Final answer
    x = 907,199.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.