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Finding the Third Proportional to 202,582 and 294,988

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Solution

The third proportional to 202,582 and 294,988 is: 429,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,582 : 294,988 = 294,988 : x
  2. Step 2: Convert to fraction form
    202,582/294,988 = 294,988/x
  3. Step 3: Cross multiply
    202,582x = 294,988 × 294,988
  4. Step 4: Simplify right side
    202,582x = 87,017,920,144
  5. Step 5: Solve for x
    x = 87,017,920,144/202,582
  6. Step 6: Final answer
    x = 429,544.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.