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Finding the Third Proportional to 233,352 and 385,020

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Solution

The third proportional to 233,352 and 385,020 is: 635,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,352 : 385,020 = 385,020 : x
  2. Step 2: Convert to fraction form
    233,352/385,020 = 385,020/x
  3. Step 3: Cross multiply
    233,352x = 385,020 × 385,020
  4. Step 4: Simplify right side
    233,352x = 148,240,400,400
  5. Step 5: Solve for x
    x = 148,240,400,400/233,352
  6. Step 6: Final answer
    x = 635,265.18

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.