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Finding the Third Proportional to 210,329 and 456,146

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Solution

The third proportional to 210,329 and 456,146 is: 989,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,329 : 456,146 = 456,146 : x
  2. Step 2: Convert to fraction form
    210,329/456,146 = 456,146/x
  3. Step 3: Cross multiply
    210,329x = 456,146 × 456,146
  4. Step 4: Simplify right side
    210,329x = 208,069,173,316
  5. Step 5: Solve for x
    x = 208,069,173,316/210,329
  6. Step 6: Final answer
    x = 989,255.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.