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Finding the Third Proportional to 216,160 and 472,454

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Solution

The third proportional to 216,160 and 472,454 is: 1,032,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,160 : 472,454 = 472,454 : x
  2. Step 2: Convert to fraction form
    216,160/472,454 = 472,454/x
  3. Step 3: Cross multiply
    216,160x = 472,454 × 472,454
  4. Step 4: Simplify right side
    216,160x = 223,212,782,116
  5. Step 5: Solve for x
    x = 223,212,782,116/216,160
  6. Step 6: Final answer
    x = 1,032,627.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.