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Finding the Third Proportional to 136,440 and 293,400.56

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Solution

The third proportional to 136,440 and 293,400.56 is: 630,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,440 : 293,400.56 = 293,400.56 : x
  2. Step 2: Convert to fraction form
    136,440/293,400.56 = 293,400.56/x
  3. Step 3: Cross multiply
    136,440x = 293,400.56 × 293,400.56
  4. Step 4: Simplify right side
    136,440x = 86,083,890,075.32
  5. Step 5: Solve for x
    x = 86,083,890,075.32/136,440
  6. Step 6: Final answer
    x = 630,928.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.