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Finding the Third Proportional to 210,336 and 456,348

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Solution

The third proportional to 210,336 and 456,348 is: 990,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,336 : 456,348 = 456,348 : x
  2. Step 2: Convert to fraction form
    210,336/456,348 = 456,348/x
  3. Step 3: Cross multiply
    210,336x = 456,348 × 456,348
  4. Step 4: Simplify right side
    210,336x = 208,253,497,104
  5. Step 5: Solve for x
    x = 208,253,497,104/210,336
  6. Step 6: Final answer
    x = 990,099.16

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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.