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Finding the Third Proportional to 153,507 and 236,822

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Solution

The third proportional to 153,507 and 236,822 is: 365,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,507 : 236,822 = 236,822 : x
  2. Step 2: Convert to fraction form
    153,507/236,822 = 236,822/x
  3. Step 3: Cross multiply
    153,507x = 236,822 × 236,822
  4. Step 4: Simplify right side
    153,507x = 56,084,659,684
  5. Step 5: Solve for x
    x = 56,084,659,684/153,507
  6. Step 6: Final answer
    x = 365,355.71

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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.