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Finding the Third Proportional to 153,504 and 236,808

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Solution

The third proportional to 153,504 and 236,808 is: 365,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,504 : 236,808 = 236,808 : x
  2. Step 2: Convert to fraction form
    153,504/236,808 = 236,808/x
  3. Step 3: Cross multiply
    153,504x = 236,808 × 236,808
  4. Step 4: Simplify right side
    153,504x = 56,078,028,864
  5. Step 5: Solve for x
    x = 56,078,028,864/153,504
  6. Step 6: Final answer
    x = 365,319.66

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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.