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Finding the Third Proportional to 173,107.13 and 265,710.38

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Solution

The third proportional to 173,107.13 and 265,710.38 is: 407,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,107.13 : 265,710.38 = 265,710.38 : x
  2. Step 2: Convert to fraction form
    173,107.13/265,710.38 = 265,710.38/x
  3. Step 3: Cross multiply
    173,107.13x = 265,710.38 × 265,710.38
  4. Step 4: Simplify right side
    173,107.13x = 70,602,003,382.64
  5. Step 5: Solve for x
    x = 70,602,003,382.64/173,107.13
  6. Step 6: Final answer
    x = 407,851.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.