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Finding the Third Proportional to 236,924 and 358,206

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Solution

The third proportional to 236,924 and 358,206 is: 541,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,924 : 358,206 = 358,206 : x
  2. Step 2: Convert to fraction form
    236,924/358,206 = 358,206/x
  3. Step 3: Cross multiply
    236,924x = 358,206 × 358,206
  4. Step 4: Simplify right side
    236,924x = 128,311,538,436
  5. Step 5: Solve for x
    x = 128,311,538,436/236,924
  6. Step 6: Final answer
    x = 541,572.57

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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.