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Finding the Third Proportional to 96,574 and 210,284

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Solution

The third proportional to 96,574 and 210,284 is: 457,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,574 : 210,284 = 210,284 : x
  2. Step 2: Convert to fraction form
    96,574/210,284 = 210,284/x
  3. Step 3: Cross multiply
    96,574x = 210,284 × 210,284
  4. Step 4: Simplify right side
    96,574x = 44,219,360,656
  5. Step 5: Solve for x
    x = 44,219,360,656/96,574
  6. Step 6: Final answer
    x = 457,880.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.