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Finding the Third Proportional to 98,442 and 156,303

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Solution

The third proportional to 98,442 and 156,303 is: 248,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442 : 156,303 = 156,303 : x
  2. Step 2: Convert to fraction form
    98,442/156,303 = 156,303/x
  3. Step 3: Cross multiply
    98,442x = 156,303 × 156,303
  4. Step 4: Simplify right side
    98,442x = 24,430,627,809
  5. Step 5: Solve for x
    x = 24,430,627,809/98,442
  6. Step 6: Final answer
    x = 248,172.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.