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Finding the Third Proportional to 164,072 and 357,792

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Solution

The third proportional to 164,072 and 357,792 is: 780,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,072 : 357,792 = 357,792 : x
  2. Step 2: Convert to fraction form
    164,072/357,792 = 357,792/x
  3. Step 3: Cross multiply
    164,072x = 357,792 × 357,792
  4. Step 4: Simplify right side
    164,072x = 128,015,115,264
  5. Step 5: Solve for x
    x = 128,015,115,264/164,072
  6. Step 6: Final answer
    x = 780,237.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.