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Finding the Third Proportional to 158,967 and 240,070.50

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Solution

The third proportional to 158,967 and 240,070.50 is: 362,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,967 : 240,070.50 = 240,070.50 : x
  2. Step 2: Convert to fraction form
    158,967/240,070.50 = 240,070.50/x
  3. Step 3: Cross multiply
    158,967x = 240,070.50 × 240,070.50
  4. Step 4: Simplify right side
    158,967x = 57,633,844,970.25
  5. Step 5: Solve for x
    x = 57,633,844,970.25/158,967
  6. Step 6: Final answer
    x = 362,552.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.