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Finding the Third Proportional to 168,495 and 360,683

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Solution

The third proportional to 168,495 and 360,683 is: 772,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,495 : 360,683 = 360,683 : x
  2. Step 2: Convert to fraction form
    168,495/360,683 = 360,683/x
  3. Step 3: Cross multiply
    168,495x = 360,683 × 360,683
  4. Step 4: Simplify right side
    168,495x = 130,092,226,489
  5. Step 5: Solve for x
    x = 130,092,226,489/168,495
  6. Step 6: Final answer
    x = 772,083.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.