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Finding the Third Proportional to 258,909.75 and 349,803.75

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Solution

The third proportional to 258,909.75 and 349,803.75 is: 472,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,909.75 : 349,803.75 = 349,803.75 : x
  2. Step 2: Convert to fraction form
    258,909.75/349,803.75 = 349,803.75/x
  3. Step 3: Cross multiply
    258,909.75x = 349,803.75 × 349,803.75
  4. Step 4: Simplify right side
    258,909.75x = 122,362,663,514.06
  5. Step 5: Solve for x
    x = 122,362,663,514.06/258,909.75
  6. Step 6: Final answer
    x = 472,607.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.