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Finding the Third Proportional to 164,488.50 and 340,641

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Solution

The third proportional to 164,488.50 and 340,641 is: 705,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,488.50 : 340,641 = 340,641 : x
  2. Step 2: Convert to fraction form
    164,488.50/340,641 = 340,641/x
  3. Step 3: Cross multiply
    164,488.50x = 340,641 × 340,641
  4. Step 4: Simplify right side
    164,488.50x = 116,036,290,881
  5. Step 5: Solve for x
    x = 116,036,290,881/164,488.50
  6. Step 6: Final answer
    x = 705,437.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.