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Finding the Third Proportional to 117,023 and 176,358

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Solution

The third proportional to 117,023 and 176,358 is: 265,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,023 : 176,358 = 176,358 : x
  2. Step 2: Convert to fraction form
    117,023/176,358 = 176,358/x
  3. Step 3: Cross multiply
    117,023x = 176,358 × 176,358
  4. Step 4: Simplify right side
    117,023x = 31,102,144,164
  5. Step 5: Solve for x
    x = 31,102,144,164/117,023
  6. Step 6: Final answer
    x = 265,778.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.