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Finding the Third Proportional to 147,534 and 320,046

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Solution

The third proportional to 147,534 and 320,046 is: 694,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,534 : 320,046 = 320,046 : x
  2. Step 2: Convert to fraction form
    147,534/320,046 = 320,046/x
  3. Step 3: Cross multiply
    147,534x = 320,046 × 320,046
  4. Step 4: Simplify right side
    147,534x = 102,429,442,116
  5. Step 5: Solve for x
    x = 102,429,442,116/147,534
  6. Step 6: Final answer
    x = 694,276.86

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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.