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Finding the Third Proportional to 161,258 and 353,200

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Solution

The third proportional to 161,258 and 353,200 is: 773,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,258 : 353,200 = 353,200 : x
  2. Step 2: Convert to fraction form
    161,258/353,200 = 353,200/x
  3. Step 3: Cross multiply
    161,258x = 353,200 × 353,200
  4. Step 4: Simplify right side
    161,258x = 124,750,240,000
  5. Step 5: Solve for x
    x = 124,750,240,000/161,258
  6. Step 6: Final answer
    x = 773,606.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.