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Finding the Third Proportional to 153,564 and 236,906

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Solution

The third proportional to 153,564 and 236,906 is: 365,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,564 : 236,906 = 236,906 : x
  2. Step 2: Convert to fraction form
    153,564/236,906 = 236,906/x
  3. Step 3: Cross multiply
    153,564x = 236,906 × 236,906
  4. Step 4: Simplify right side
    153,564x = 56,124,452,836
  5. Step 5: Solve for x
    x = 56,124,452,836/153,564
  6. Step 6: Final answer
    x = 365,479.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.