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Finding the Third Proportional to 162,201 and 355,978.50

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Solution

The third proportional to 162,201 and 355,978.50 is: 781,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,201 : 355,978.50 = 355,978.50 : x
  2. Step 2: Convert to fraction form
    162,201/355,978.50 = 355,978.50/x
  3. Step 3: Cross multiply
    162,201x = 355,978.50 × 355,978.50
  4. Step 4: Simplify right side
    162,201x = 126,720,692,462.25
  5. Step 5: Solve for x
    x = 126,720,692,462.25/162,201
  6. Step 6: Final answer
    x = 781,257.16

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