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Finding the Third Proportional to 238,254 and 511,054.50

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Solution

The third proportional to 238,254 and 511,054.50 is: 1,096,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,254 : 511,054.50 = 511,054.50 : x
  2. Step 2: Convert to fraction form
    238,254/511,054.50 = 511,054.50/x
  3. Step 3: Cross multiply
    238,254x = 511,054.50 × 511,054.50
  4. Step 4: Simplify right side
    238,254x = 261,176,701,970.25
  5. Step 5: Solve for x
    x = 261,176,701,970.25/238,254
  6. Step 6: Final answer
    x = 1,096,211.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.