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Finding the Third Proportional to 236,510 and 357,222

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Solution

The third proportional to 236,510 and 357,222 is: 539,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,510 : 357,222 = 357,222 : x
  2. Step 2: Convert to fraction form
    236,510/357,222 = 357,222/x
  3. Step 3: Cross multiply
    236,510x = 357,222 × 357,222
  4. Step 4: Simplify right side
    236,510x = 127,607,557,284
  5. Step 5: Solve for x
    x = 127,607,557,284/236,510
  6. Step 6: Final answer
    x = 539,544.02

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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.