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Finding the Third Proportional to 172,864.13 and 233,031.94

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Solution

The third proportional to 172,864.13 and 233,031.94 is: 314,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,864.13 : 233,031.94 = 233,031.94 : x
  2. Step 2: Convert to fraction form
    172,864.13/233,031.94 = 233,031.94/x
  3. Step 3: Cross multiply
    172,864.13x = 233,031.94 × 233,031.94
  4. Step 4: Simplify right side
    172,864.13x = 54,303,883,895.00
  5. Step 5: Solve for x
    x = 54,303,883,895.00/172,864.13
  6. Step 6: Final answer
    x = 314,142.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.