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Finding the Third Proportional to 172,088 and 371,852

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Solution

The third proportional to 172,088 and 371,852 is: 803,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,088 : 371,852 = 371,852 : x
  2. Step 2: Convert to fraction form
    172,088/371,852 = 371,852/x
  3. Step 3: Cross multiply
    172,088x = 371,852 × 371,852
  4. Step 4: Simplify right side
    172,088x = 138,273,909,904
  5. Step 5: Solve for x
    x = 138,273,909,904/172,088
  6. Step 6: Final answer
    x = 803,506.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.