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Finding the Third Proportional to 145,967.06 and 221,691.94

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Solution

The third proportional to 145,967.06 and 221,691.94 is: 336,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,967.06 : 221,691.94 = 221,691.94 : x
  2. Step 2: Convert to fraction form
    145,967.06/221,691.94 = 221,691.94/x
  3. Step 3: Cross multiply
    145,967.06x = 221,691.94 × 221,691.94
  4. Step 4: Simplify right side
    145,967.06x = 49,147,315,152.50
  5. Step 5: Solve for x
    x = 49,147,315,152.50/145,967.06
  6. Step 6: Final answer
    x = 336,701.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.