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Finding the Third Proportional to 130,394.25 and 201,794.63

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Solution

The third proportional to 130,394.25 and 201,794.63 is: 312,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,394.25 : 201,794.63 = 201,794.63 : x
  2. Step 2: Convert to fraction form
    130,394.25/201,794.63 = 201,794.63/x
  3. Step 3: Cross multiply
    130,394.25x = 201,794.63 × 201,794.63
  4. Step 4: Simplify right side
    130,394.25x = 40,721,070,678.89
  5. Step 5: Solve for x
    x = 40,721,070,678.89/130,394.25
  6. Step 6: Final answer
    x = 312,291.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.