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Finding the Third Proportional to 155,563 and 341,258

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Solution

The third proportional to 155,563 and 341,258 is: 748,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,563 : 341,258 = 341,258 : x
  2. Step 2: Convert to fraction form
    155,563/341,258 = 341,258/x
  3. Step 3: Cross multiply
    155,563x = 341,258 × 341,258
  4. Step 4: Simplify right side
    155,563x = 116,457,022,564
  5. Step 5: Solve for x
    x = 116,457,022,564/155,563
  6. Step 6: Final answer
    x = 748,616.46

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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.