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Finding the Third Proportional to 134,324 and 282,440

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Solution

The third proportional to 134,324 and 282,440 is: 593,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,324 : 282,440 = 282,440 : x
  2. Step 2: Convert to fraction form
    134,324/282,440 = 282,440/x
  3. Step 3: Cross multiply
    134,324x = 282,440 × 282,440
  4. Step 4: Simplify right side
    134,324x = 79,772,353,600
  5. Step 5: Solve for x
    x = 79,772,353,600/134,324
  6. Step 6: Final answer
    x = 593,880.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.