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Finding the Third Proportional to 223,465 and 312,584

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Solution

The third proportional to 223,465 and 312,584 is: 437,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,465 : 312,584 = 312,584 : x
  2. Step 2: Convert to fraction form
    223,465/312,584 = 312,584/x
  3. Step 3: Cross multiply
    223,465x = 312,584 × 312,584
  4. Step 4: Simplify right side
    223,465x = 97,708,757,056
  5. Step 5: Solve for x
    x = 97,708,757,056/223,465
  6. Step 6: Final answer
    x = 437,244.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.