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Finding the Third Proportional to 156,056 and 336,988.50

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Solution

The third proportional to 156,056 and 336,988.50 is: 727,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,056 : 336,988.50 = 336,988.50 : x
  2. Step 2: Convert to fraction form
    156,056/336,988.50 = 336,988.50/x
  3. Step 3: Cross multiply
    156,056x = 336,988.50 × 336,988.50
  4. Step 4: Simplify right side
    156,056x = 113,561,249,132.25
  5. Step 5: Solve for x
    x = 113,561,249,132.25/156,056
  6. Step 6: Final answer
    x = 727,695.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.