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Finding the Third Proportional to 130,658.63 and 286,215.75

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Solution

The third proportional to 130,658.63 and 286,215.75 is: 626,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,658.63 : 286,215.75 = 286,215.75 : x
  2. Step 2: Convert to fraction form
    130,658.63/286,215.75 = 286,215.75/x
  3. Step 3: Cross multiply
    130,658.63x = 286,215.75 × 286,215.75
  4. Step 4: Simplify right side
    130,658.63x = 81,919,455,548.06
  5. Step 5: Solve for x
    x = 81,919,455,548.06/130,658.63
  6. Step 6: Final answer
    x = 626,973.19

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