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Finding the Third Proportional to 174,730.50 and 360,607.50

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Solution

The third proportional to 174,730.50 and 360,607.50 is: 744,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,730.50 : 360,607.50 = 360,607.50 : x
  2. Step 2: Convert to fraction form
    174,730.50/360,607.50 = 360,607.50/x
  3. Step 3: Cross multiply
    174,730.50x = 360,607.50 × 360,607.50
  4. Step 4: Simplify right side
    174,730.50x = 130,037,769,056.25
  5. Step 5: Solve for x
    x = 130,037,769,056.25/174,730.50
  6. Step 6: Final answer
    x = 744,219.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.