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Finding the Third Proportional to 164,589 and 358,641

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Solution

The third proportional to 164,589 and 358,641 is: 781,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,589 : 358,641 = 358,641 : x
  2. Step 2: Convert to fraction form
    164,589/358,641 = 358,641/x
  3. Step 3: Cross multiply
    164,589x = 358,641 × 358,641
  4. Step 4: Simplify right side
    164,589x = 128,623,366,881
  5. Step 5: Solve for x
    x = 128,623,366,881/164,589
  6. Step 6: Final answer
    x = 781,482.16

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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.