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Finding the Third Proportional to 210,301 and 456,097

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Solution

The third proportional to 210,301 and 456,097 is: 989,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301 : 456,097 = 456,097 : x
  2. Step 2: Convert to fraction form
    210,301/456,097 = 456,097/x
  3. Step 3: Cross multiply
    210,301x = 456,097 × 456,097
  4. Step 4: Simplify right side
    210,301x = 208,024,473,409
  5. Step 5: Solve for x
    x = 208,024,473,409/210,301
  6. Step 6: Final answer
    x = 989,174.91

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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.