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Finding the Third Proportional to 114,728.63 and 248,521.50

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Solution

The third proportional to 114,728.63 and 248,521.50 is: 538,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,728.63 : 248,521.50 = 248,521.50 : x
  2. Step 2: Convert to fraction form
    114,728.63/248,521.50 = 248,521.50/x
  3. Step 3: Cross multiply
    114,728.63x = 248,521.50 × 248,521.50
  4. Step 4: Simplify right side
    114,728.63x = 61,762,935,962.25
  5. Step 5: Solve for x
    x = 61,762,935,962.25/114,728.63
  6. Step 6: Final answer
    x = 538,339.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.