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Finding the Third Proportional to 154,032 and 228,789

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Solution

The third proportional to 154,032 and 228,789 is: 339,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,032 : 228,789 = 228,789 : x
  2. Step 2: Convert to fraction form
    154,032/228,789 = 228,789/x
  3. Step 3: Cross multiply
    154,032x = 228,789 × 228,789
  4. Step 4: Simplify right side
    154,032x = 52,344,406,521
  5. Step 5: Solve for x
    x = 52,344,406,521/154,032
  6. Step 6: Final answer
    x = 339,828.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.