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Finding the Third Proportional to 163,380 and 355,828.50

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Solution

The third proportional to 163,380 and 355,828.50 is: 774,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,380 : 355,828.50 = 355,828.50 : x
  2. Step 2: Convert to fraction form
    163,380/355,828.50 = 355,828.50/x
  3. Step 3: Cross multiply
    163,380x = 355,828.50 × 355,828.50
  4. Step 4: Simplify right side
    163,380x = 126,613,921,412.25
  5. Step 5: Solve for x
    x = 126,613,921,412.25/163,380
  6. Step 6: Final answer
    x = 774,965.86

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