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Finding the Third Proportional to 224,307.75 and 319,935

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Solution

The third proportional to 224,307.75 and 319,935 is: 456,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,307.75 : 319,935 = 319,935 : x
  2. Step 2: Convert to fraction form
    224,307.75/319,935 = 319,935/x
  3. Step 3: Cross multiply
    224,307.75x = 319,935 × 319,935
  4. Step 4: Simplify right side
    224,307.75x = 102,358,404,225
  5. Step 5: Solve for x
    x = 102,358,404,225/224,307.75
  6. Step 6: Final answer
    x = 456,330.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.