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Finding the Third Proportional to 130,964 and 282,796

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Solution

The third proportional to 130,964 and 282,796 is: 610,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,964 : 282,796 = 282,796 : x
  2. Step 2: Convert to fraction form
    130,964/282,796 = 282,796/x
  3. Step 3: Cross multiply
    130,964x = 282,796 × 282,796
  4. Step 4: Simplify right side
    130,964x = 79,973,577,616
  5. Step 5: Solve for x
    x = 79,973,577,616/130,964
  6. Step 6: Final answer
    x = 610,653.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.