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Finding the Third Proportional to 247,297 and 372,106

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Solution

The third proportional to 247,297 and 372,106 is: 559,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,297 : 372,106 = 372,106 : x
  2. Step 2: Convert to fraction form
    247,297/372,106 = 372,106/x
  3. Step 3: Cross multiply
    247,297x = 372,106 × 372,106
  4. Step 4: Simplify right side
    247,297x = 138,462,875,236
  5. Step 5: Solve for x
    x = 138,462,875,236/247,297
  6. Step 6: Final answer
    x = 559,905.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.