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Finding the Third Proportional to 164,482.31 and 341,889.19

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Solution

The third proportional to 164,482.31 and 341,889.19 is: 710,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,482.31 : 341,889.19 = 341,889.19 : x
  2. Step 2: Convert to fraction form
    164,482.31/341,889.19 = 341,889.19/x
  3. Step 3: Cross multiply
    164,482.31x = 341,889.19 × 341,889.19
  4. Step 4: Simplify right side
    164,482.31x = 116,888,216,529.41
  5. Step 5: Solve for x
    x = 116,888,216,529.41/164,482.31
  6. Step 6: Final answer
    x = 710,643.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.