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Finding the Third Proportional to 153,509 and 236,826

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Solution

The third proportional to 153,509 and 236,826 is: 365,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,509 : 236,826 = 236,826 : x
  2. Step 2: Convert to fraction form
    153,509/236,826 = 236,826/x
  3. Step 3: Cross multiply
    153,509x = 236,826 × 236,826
  4. Step 4: Simplify right side
    153,509x = 56,086,554,276
  5. Step 5: Solve for x
    x = 56,086,554,276/153,509
  6. Step 6: Final answer
    x = 365,363.30

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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.