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Finding the Third Proportional to 183,465 and 398,358

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Solution

The third proportional to 183,465 and 398,358 is: 864,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,465 : 398,358 = 398,358 : x
  2. Step 2: Convert to fraction form
    183,465/398,358 = 398,358/x
  3. Step 3: Cross multiply
    183,465x = 398,358 × 398,358
  4. Step 4: Simplify right side
    183,465x = 158,689,096,164
  5. Step 5: Solve for x
    x = 158,689,096,164/183,465
  6. Step 6: Final answer
    x = 864,955.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.