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Finding the Third Proportional to 233,948.25 and 334,557

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Solution

The third proportional to 233,948.25 and 334,557 is: 478,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,948.25 : 334,557 = 334,557 : x
  2. Step 2: Convert to fraction form
    233,948.25/334,557 = 334,557/x
  3. Step 3: Cross multiply
    233,948.25x = 334,557 × 334,557
  4. Step 4: Simplify right side
    233,948.25x = 111,928,386,249
  5. Step 5: Solve for x
    x = 111,928,386,249/233,948.25
  6. Step 6: Final answer
    x = 478,432.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.