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Finding the Third Proportional to 270,094.50 and 427,153.50

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Solution

The third proportional to 270,094.50 and 427,153.50 is: 675,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,094.50 : 427,153.50 = 427,153.50 : x
  2. Step 2: Convert to fraction form
    270,094.50/427,153.50 = 427,153.50/x
  3. Step 3: Cross multiply
    270,094.50x = 427,153.50 × 427,153.50
  4. Step 4: Simplify right side
    270,094.50x = 182,460,112,562.25
  5. Step 5: Solve for x
    x = 182,460,112,562.25/270,094.50
  6. Step 6: Final answer
    x = 675,541.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.