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Finding the Third Proportional to 147,948 and 240,364

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Solution

The third proportional to 147,948 and 240,364 is: 390,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,948 : 240,364 = 240,364 : x
  2. Step 2: Convert to fraction form
    147,948/240,364 = 240,364/x
  3. Step 3: Cross multiply
    147,948x = 240,364 × 240,364
  4. Step 4: Simplify right side
    147,948x = 57,774,852,496
  5. Step 5: Solve for x
    x = 57,774,852,496/147,948
  6. Step 6: Final answer
    x = 390,507.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.