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Finding the Third Proportional to 192,526.50 and 417,129

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Solution

The third proportional to 192,526.50 and 417,129 is: 903,754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,526.50 : 417,129 = 417,129 : x
  2. Step 2: Convert to fraction form
    192,526.50/417,129 = 417,129/x
  3. Step 3: Cross multiply
    192,526.50x = 417,129 × 417,129
  4. Step 4: Simplify right side
    192,526.50x = 173,996,602,641
  5. Step 5: Solve for x
    x = 173,996,602,641/192,526.50
  6. Step 6: Final answer
    x = 903,754.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.