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Finding the Third Proportional to 155,220 and 165,880.50

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Solution

The third proportional to 155,220 and 165,880.50 is: 177,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,220 : 165,880.50 = 165,880.50 : x
  2. Step 2: Convert to fraction form
    155,220/165,880.50 = 165,880.50/x
  3. Step 3: Cross multiply
    155,220x = 165,880.50 × 165,880.50
  4. Step 4: Simplify right side
    155,220x = 27,516,340,280.25
  5. Step 5: Solve for x
    x = 27,516,340,280.25/155,220
  6. Step 6: Final answer
    x = 177,273.16

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.