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Finding the Third Proportional to 153,027 and 237,523.50

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Solution

The third proportional to 153,027 and 237,523.50 is: 368,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,027 : 237,523.50 = 237,523.50 : x
  2. Step 2: Convert to fraction form
    153,027/237,523.50 = 237,523.50/x
  3. Step 3: Cross multiply
    153,027x = 237,523.50 × 237,523.50
  4. Step 4: Simplify right side
    153,027x = 56,417,413,052.25
  5. Step 5: Solve for x
    x = 56,417,413,052.25/153,027
  6. Step 6: Final answer
    x = 368,676.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.