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Finding the Third Proportional to 158,935.50 and 240,024

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Solution

The third proportional to 158,935.50 and 240,024 is: 362,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,935.50 : 240,024 = 240,024 : x
  2. Step 2: Convert to fraction form
    158,935.50/240,024 = 240,024/x
  3. Step 3: Cross multiply
    158,935.50x = 240,024 × 240,024
  4. Step 4: Simplify right side
    158,935.50x = 57,611,520,576
  5. Step 5: Solve for x
    x = 57,611,520,576/158,935.50
  6. Step 6: Final answer
    x = 362,483.65

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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.