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Finding the Third Proportional to 153,563.25 and 232,492.88

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Solution

The third proportional to 153,563.25 and 232,492.88 is: 351,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,563.25 : 232,492.88 = 232,492.88 : x
  2. Step 2: Convert to fraction form
    153,563.25/232,492.88 = 232,492.88/x
  3. Step 3: Cross multiply
    153,563.25x = 232,492.88 × 232,492.88
  4. Step 4: Simplify right side
    153,563.25x = 54,052,936,925.77
  5. Step 5: Solve for x
    x = 54,052,936,925.77/153,563.25
  6. Step 6: Final answer
    x = 351,991.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.