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Finding the Third Proportional to 152,995.50 and 252,848.25

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Solution

The third proportional to 152,995.50 and 252,848.25 is: 417,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,995.50 : 252,848.25 = 252,848.25 : x
  2. Step 2: Convert to fraction form
    152,995.50/252,848.25 = 252,848.25/x
  3. Step 3: Cross multiply
    152,995.50x = 252,848.25 × 252,848.25
  4. Step 4: Simplify right side
    152,995.50x = 63,932,237,528.06
  5. Step 5: Solve for x
    x = 63,932,237,528.06/152,995.50
  6. Step 6: Final answer
    x = 417,870.05

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.