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Finding the Third Proportional to 152,212 and 241,009.50

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Solution

The third proportional to 152,212 and 241,009.50 is: 381,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,212 : 241,009.50 = 241,009.50 : x
  2. Step 2: Convert to fraction form
    152,212/241,009.50 = 241,009.50/x
  3. Step 3: Cross multiply
    152,212x = 241,009.50 × 241,009.50
  4. Step 4: Simplify right side
    152,212x = 58,085,579,090.25
  5. Step 5: Solve for x
    x = 58,085,579,090.25/152,212
  6. Step 6: Final answer
    x = 381,609.72

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.