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Finding the Third Proportional to 109,252.50 and 238,365

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Solution

The third proportional to 109,252.50 and 238,365 is: 520,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,252.50 : 238,365 = 238,365 : x
  2. Step 2: Convert to fraction form
    109,252.50/238,365 = 238,365/x
  3. Step 3: Cross multiply
    109,252.50x = 238,365 × 238,365
  4. Step 4: Simplify right side
    109,252.50x = 56,817,873,225
  5. Step 5: Solve for x
    x = 56,817,873,225/109,252.50
  6. Step 6: Final answer
    x = 520,060.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.