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Finding the Third Proportional to 130,536.56 and 286,086.94

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Solution

The third proportional to 130,536.56 and 286,086.94 is: 626,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,536.56 : 286,086.94 = 286,086.94 : x
  2. Step 2: Convert to fraction form
    130,536.56/286,086.94 = 286,086.94/x
  3. Step 3: Cross multiply
    130,536.56x = 286,086.94 × 286,086.94
  4. Step 4: Simplify right side
    130,536.56x = 81,845,735,808.13
  5. Step 5: Solve for x
    x = 81,845,735,808.13/130,536.56
  6. Step 6: Final answer
    x = 626,994.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.