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Finding the Third Proportional to 168,688 and 362,386

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Solution

The third proportional to 168,688 and 362,386 is: 778,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,688 : 362,386 = 362,386 : x
  2. Step 2: Convert to fraction form
    168,688/362,386 = 362,386/x
  3. Step 3: Cross multiply
    168,688x = 362,386 × 362,386
  4. Step 4: Simplify right side
    168,688x = 131,323,612,996
  5. Step 5: Solve for x
    x = 131,323,612,996/168,688
  6. Step 6: Final answer
    x = 778,500.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.