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Finding the Third Proportional to 161,563.50 and 345,117.94

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Solution

The third proportional to 161,563.50 and 345,117.94 is: 737,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,563.50 : 345,117.94 = 345,117.94 : x
  2. Step 2: Convert to fraction form
    161,563.50/345,117.94 = 345,117.94/x
  3. Step 3: Cross multiply
    161,563.50x = 345,117.94 × 345,117.94
  4. Step 4: Simplify right side
    161,563.50x = 119,106,390,784.25
  5. Step 5: Solve for x
    x = 119,106,390,784.25/161,563.50
  6. Step 6: Final answer
    x = 737,211.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.