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Finding the Third Proportional to 164,042.72 and 341,180.02

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Solution

The third proportional to 164,042.72 and 341,180.02 is: 709,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,042.72 : 341,180.02 = 341,180.02 : x
  2. Step 2: Convert to fraction form
    164,042.72/341,180.02 = 341,180.02/x
  3. Step 3: Cross multiply
    164,042.72x = 341,180.02 × 341,180.02
  4. Step 4: Simplify right side
    164,042.72x = 116,403,803,061.88
  5. Step 5: Solve for x
    x = 116,403,803,061.88/164,042.72
  6. Step 6: Final answer
    x = 709,594.45

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.