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Finding the Third Proportional to 210,254 and 326,454

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Solution

The third proportional to 210,254 and 326,454 is: 506,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,254 : 326,454 = 326,454 : x
  2. Step 2: Convert to fraction form
    210,254/326,454 = 326,454/x
  3. Step 3: Cross multiply
    210,254x = 326,454 × 326,454
  4. Step 4: Simplify right side
    210,254x = 106,572,214,116
  5. Step 5: Solve for x
    x = 106,572,214,116/210,254
  6. Step 6: Final answer
    x = 506,873.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.