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Finding the Third Proportional to 210,582 and 456,156

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Solution

The third proportional to 210,582 and 456,156 is: 988,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,582 : 456,156 = 456,156 : x
  2. Step 2: Convert to fraction form
    210,582/456,156 = 456,156/x
  3. Step 3: Cross multiply
    210,582x = 456,156 × 456,156
  4. Step 4: Simplify right side
    210,582x = 208,078,296,336
  5. Step 5: Solve for x
    x = 208,078,296,336/210,582
  6. Step 6: Final answer
    x = 988,110.55

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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.