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Finding the Third Proportional to 147,835.13 and 231,643.13

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Solution

The third proportional to 147,835.13 and 231,643.13 is: 362,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,835.13 : 231,643.13 = 231,643.13 : x
  2. Step 2: Convert to fraction form
    147,835.13/231,643.13 = 231,643.13/x
  3. Step 3: Cross multiply
    147,835.13x = 231,643.13 × 231,643.13
  4. Step 4: Simplify right side
    147,835.13x = 53,658,537,359.77
  5. Step 5: Solve for x
    x = 53,658,537,359.77/147,835.13
  6. Step 6: Final answer
    x = 362,962.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.