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Finding the Third Proportional to 172,033 and 237,718.25

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Solution

The third proportional to 172,033 and 237,718.25 is: 328,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,033 : 237,718.25 = 237,718.25 : x
  2. Step 2: Convert to fraction form
    172,033/237,718.25 = 237,718.25/x
  3. Step 3: Cross multiply
    172,033x = 237,718.25 × 237,718.25
  4. Step 4: Simplify right side
    172,033x = 56,509,966,383.06
  5. Step 5: Solve for x
    x = 56,509,966,383.06/172,033
  6. Step 6: Final answer
    x = 328,483.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.