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Finding the Third Proportional to 156,681 and 369,796.50

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Solution

The third proportional to 156,681 and 369,796.50 is: 872,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,681 : 369,796.50 = 369,796.50 : x
  2. Step 2: Convert to fraction form
    156,681/369,796.50 = 369,796.50/x
  3. Step 3: Cross multiply
    156,681x = 369,796.50 × 369,796.50
  4. Step 4: Simplify right side
    156,681x = 136,749,451,412.25
  5. Step 5: Solve for x
    x = 136,749,451,412.25/156,681
  6. Step 6: Final answer
    x = 872,788.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.