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Finding the Third Proportional to 164,088 and 358,542

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Solution

The third proportional to 164,088 and 358,542 is: 783,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,088 : 358,542 = 358,542 : x
  2. Step 2: Convert to fraction form
    164,088/358,542 = 358,542/x
  3. Step 3: Cross multiply
    164,088x = 358,542 × 358,542
  4. Step 4: Simplify right side
    164,088x = 128,552,365,764
  5. Step 5: Solve for x
    x = 128,552,365,764/164,088
  6. Step 6: Final answer
    x = 783,435.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.