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Finding the Third Proportional to 185,849.44 and 295,389.28

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Solution

The third proportional to 185,849.44 and 295,389.28 is: 469,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,849.44 : 295,389.28 = 295,389.28 : x
  2. Step 2: Convert to fraction form
    185,849.44/295,389.28 = 295,389.28/x
  3. Step 3: Cross multiply
    185,849.44x = 295,389.28 × 295,389.28
  4. Step 4: Simplify right side
    185,849.44x = 87,254,827,477.39
  5. Step 5: Solve for x
    x = 87,254,827,477.39/185,849.44
  6. Step 6: Final answer
    x = 469,492.02

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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.