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Finding the Third Proportional to 148,013.63 and 324,196.13

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Solution

The third proportional to 148,013.63 and 324,196.13 is: 710,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,013.63 : 324,196.13 = 324,196.13 : x
  2. Step 2: Convert to fraction form
    148,013.63/324,196.13 = 324,196.13/x
  3. Step 3: Cross multiply
    148,013.63x = 324,196.13 × 324,196.13
  4. Step 4: Simplify right side
    148,013.63x = 105,103,127,465.02
  5. Step 5: Solve for x
    x = 105,103,127,465.02/148,013.63
  6. Step 6: Final answer
    x = 710,090.90

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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.