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Finding the Third Proportional to 174,953.25 and 367,528.50

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Solution

The third proportional to 174,953.25 and 367,528.50 is: 772,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,953.25 : 367,528.50 = 367,528.50 : x
  2. Step 2: Convert to fraction form
    174,953.25/367,528.50 = 367,528.50/x
  3. Step 3: Cross multiply
    174,953.25x = 367,528.50 × 367,528.50
  4. Step 4: Simplify right side
    174,953.25x = 135,077,198,312.25
  5. Step 5: Solve for x
    x = 135,077,198,312.25/174,953.25
  6. Step 6: Final answer
    x = 772,075.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.