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Finding the Third Proportional to 164,034 and 341,165.63

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Solution

The third proportional to 164,034 and 341,165.63 is: 709,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034 : 341,165.63 = 341,165.63 : x
  2. Step 2: Convert to fraction form
    164,034/341,165.63 = 341,165.63/x
  3. Step 3: Cross multiply
    164,034x = 341,165.63 × 341,165.63
  4. Step 4: Simplify right side
    164,034x = 116,393,983,681.64
  5. Step 5: Solve for x
    x = 116,393,983,681.64/164,034
  6. Step 6: Final answer
    x = 709,572.31

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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.