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Finding the Third Proportional to 130,592 and 282,784

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Solution

The third proportional to 130,592 and 282,784 is: 612,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,592 : 282,784 = 282,784 : x
  2. Step 2: Convert to fraction form
    130,592/282,784 = 282,784/x
  3. Step 3: Cross multiply
    130,592x = 282,784 × 282,784
  4. Step 4: Simplify right side
    130,592x = 79,966,790,656
  5. Step 5: Solve for x
    x = 79,966,790,656/130,592
  6. Step 6: Final answer
    x = 612,340.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.