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Finding the Third Proportional to 185,904 and 295,461

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Solution

The third proportional to 185,904 and 295,461 is: 469,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,904 : 295,461 = 295,461 : x
  2. Step 2: Convert to fraction form
    185,904/295,461 = 295,461/x
  3. Step 3: Cross multiply
    185,904x = 295,461 × 295,461
  4. Step 4: Simplify right side
    185,904x = 87,297,202,521
  5. Step 5: Solve for x
    x = 87,297,202,521/185,904
  6. Step 6: Final answer
    x = 469,582.16

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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.