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Finding the Third Proportional to 233,960 and 376,776

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Solution

The third proportional to 233,960 and 376,776 is: 606,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,960 : 376,776 = 376,776 : x
  2. Step 2: Convert to fraction form
    233,960/376,776 = 376,776/x
  3. Step 3: Cross multiply
    233,960x = 376,776 × 376,776
  4. Step 4: Simplify right side
    233,960x = 141,960,154,176
  5. Step 5: Solve for x
    x = 141,960,154,176/233,960
  6. Step 6: Final answer
    x = 606,771.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.