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Finding the Third Proportional to 140,172 and 305,688

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Solution

The third proportional to 140,172 and 305,688 is: 666,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,172 : 305,688 = 305,688 : x
  2. Step 2: Convert to fraction form
    140,172/305,688 = 305,688/x
  3. Step 3: Cross multiply
    140,172x = 305,688 × 305,688
  4. Step 4: Simplify right side
    140,172x = 93,445,153,344
  5. Step 5: Solve for x
    x = 93,445,153,344/140,172
  6. Step 6: Final answer
    x = 666,646.36

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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.