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Finding the Third Proportional to 185,943 and 295,492.50

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Solution

The third proportional to 185,943 and 295,492.50 is: 469,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,943 : 295,492.50 = 295,492.50 : x
  2. Step 2: Convert to fraction form
    185,943/295,492.50 = 295,492.50/x
  3. Step 3: Cross multiply
    185,943x = 295,492.50 × 295,492.50
  4. Step 4: Simplify right side
    185,943x = 87,315,817,556.25
  5. Step 5: Solve for x
    x = 87,315,817,556.25/185,943
  6. Step 6: Final answer
    x = 469,583.78

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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.