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Finding the Third Proportional to 147,421.13 and 236,098.69

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Solution

The third proportional to 147,421.13 and 236,098.69 is: 378,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,421.13 : 236,098.69 = 236,098.69 : x
  2. Step 2: Convert to fraction form
    147,421.13/236,098.69 = 236,098.69/x
  3. Step 3: Cross multiply
    147,421.13x = 236,098.69 × 236,098.69
  4. Step 4: Simplify right side
    147,421.13x = 55,742,590,239.22
  5. Step 5: Solve for x
    x = 55,742,590,239.22/147,421.13
  6. Step 6: Final answer
    x = 378,118.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.