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Finding the Third Proportional to 185,258 and 287,040

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Solution

The third proportional to 185,258 and 287,040 is: 444,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,258 : 287,040 = 287,040 : x
  2. Step 2: Convert to fraction form
    185,258/287,040 = 287,040/x
  3. Step 3: Cross multiply
    185,258x = 287,040 × 287,040
  4. Step 4: Simplify right side
    185,258x = 82,391,961,600
  5. Step 5: Solve for x
    x = 82,391,961,600/185,258
  6. Step 6: Final answer
    x = 444,741.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.