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Finding the Third Proportional to 157,284 and 236,370

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Solution

The third proportional to 157,284 and 236,370 is: 355,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,284 : 236,370 = 236,370 : x
  2. Step 2: Convert to fraction form
    157,284/236,370 = 236,370/x
  3. Step 3: Cross multiply
    157,284x = 236,370 × 236,370
  4. Step 4: Simplify right side
    157,284x = 55,870,776,900
  5. Step 5: Solve for x
    x = 55,870,776,900/157,284
  6. Step 6: Final answer
    x = 355,222.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.