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Finding the Third Proportional to 161,075.50 and 342,887

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Solution

The third proportional to 161,075.50 and 342,887 is: 729,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,075.50 : 342,887 = 342,887 : x
  2. Step 2: Convert to fraction form
    161,075.50/342,887 = 342,887/x
  3. Step 3: Cross multiply
    161,075.50x = 342,887 × 342,887
  4. Step 4: Simplify right side
    161,075.50x = 117,571,494,769
  5. Step 5: Solve for x
    x = 117,571,494,769/161,075.50
  6. Step 6: Final answer
    x = 729,915.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.