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Finding the Third Proportional to 210,148 and 456,017

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Solution

The third proportional to 210,148 and 456,017 is: 989,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,148 : 456,017 = 456,017 : x
  2. Step 2: Convert to fraction form
    210,148/456,017 = 456,017/x
  3. Step 3: Cross multiply
    210,148x = 456,017 × 456,017
  4. Step 4: Simplify right side
    210,148x = 207,951,504,289
  5. Step 5: Solve for x
    x = 207,951,504,289/210,148
  6. Step 6: Final answer
    x = 989,547.86

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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.