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Finding the Third Proportional to 171,907.50 and 371,468

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Solution

The third proportional to 171,907.50 and 371,468 is: 802,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,907.50 : 371,468 = 371,468 : x
  2. Step 2: Convert to fraction form
    171,907.50/371,468 = 371,468/x
  3. Step 3: Cross multiply
    171,907.50x = 371,468 × 371,468
  4. Step 4: Simplify right side
    171,907.50x = 137,988,475,024
  5. Step 5: Solve for x
    x = 137,988,475,024/171,907.50
  6. Step 6: Final answer
    x = 802,690.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.