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Finding the Third Proportional to 243,362 and 375,051

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Solution

The third proportional to 243,362 and 375,051 is: 578,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,362 : 375,051 = 375,051 : x
  2. Step 2: Convert to fraction form
    243,362/375,051 = 375,051/x
  3. Step 3: Cross multiply
    243,362x = 375,051 × 375,051
  4. Step 4: Simplify right side
    243,362x = 140,663,252,601
  5. Step 5: Solve for x
    x = 140,663,252,601/243,362
  6. Step 6: Final answer
    x = 578,000.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.