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Finding the Third Proportional to 153,834.19 and 236,140.31

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Solution

The third proportional to 153,834.19 and 236,140.31 is: 362,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,834.19 : 236,140.31 = 236,140.31 : x
  2. Step 2: Convert to fraction form
    153,834.19/236,140.31 = 236,140.31/x
  3. Step 3: Cross multiply
    153,834.19x = 236,140.31 × 236,140.31
  4. Step 4: Simplify right side
    153,834.19x = 55,762,247,187.60
  5. Step 5: Solve for x
    x = 55,762,247,187.60/153,834.19
  6. Step 6: Final answer
    x = 362,482.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.