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Finding the Third Proportional to 202,522 and 306,803

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Solution

The third proportional to 202,522 and 306,803 is: 464,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,522 : 306,803 = 306,803 : x
  2. Step 2: Convert to fraction form
    202,522/306,803 = 306,803/x
  3. Step 3: Cross multiply
    202,522x = 306,803 × 306,803
  4. Step 4: Simplify right side
    202,522x = 94,128,080,809
  5. Step 5: Solve for x
    x = 94,128,080,809/202,522
  6. Step 6: Final answer
    x = 464,779.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.