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Finding the Third Proportional to 160,411.32 and 224,278.56

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Solution

The third proportional to 160,411.32 and 224,278.56 is: 313,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,411.32 : 224,278.56 = 224,278.56 : x
  2. Step 2: Convert to fraction form
    160,411.32/224,278.56 = 224,278.56/x
  3. Step 3: Cross multiply
    160,411.32x = 224,278.56 × 224,278.56
  4. Step 4: Simplify right side
    160,411.32x = 50,300,871,844.89
  5. Step 5: Solve for x
    x = 50,300,871,844.89/160,411.32
  6. Step 6: Final answer
    x = 313,574.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.