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Finding the Third Proportional to 152,017.88 and 238,466.25

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Solution

The third proportional to 152,017.88 and 238,466.25 is: 374,075.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,017.88 : 238,466.25 = 238,466.25 : x
  2. Step 2: Convert to fraction form
    152,017.88/238,466.25 = 238,466.25/x
  3. Step 3: Cross multiply
    152,017.88x = 238,466.25 × 238,466.25
  4. Step 4: Simplify right side
    152,017.88x = 56,866,152,389.06
  5. Step 5: Solve for x
    x = 56,866,152,389.06/152,017.88
  6. Step 6: Final answer
    x = 374,075.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.