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Finding the Third Proportional to 185,266 and 295,032

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Solution

The third proportional to 185,266 and 295,032 is: 469,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,266 : 295,032 = 295,032 : x
  2. Step 2: Convert to fraction form
    185,266/295,032 = 295,032/x
  3. Step 3: Cross multiply
    185,266x = 295,032 × 295,032
  4. Step 4: Simplify right side
    185,266x = 87,043,881,024
  5. Step 5: Solve for x
    x = 87,043,881,024/185,266
  6. Step 6: Final answer
    x = 469,831.92

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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.