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Finding the Third Proportional to 119,964 and 262,528

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Solution

The third proportional to 119,964 and 262,528 is: 574,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,964 : 262,528 = 262,528 : x
  2. Step 2: Convert to fraction form
    119,964/262,528 = 262,528/x
  3. Step 3: Cross multiply
    119,964x = 262,528 × 262,528
  4. Step 4: Simplify right side
    119,964x = 68,920,950,784
  5. Step 5: Solve for x
    x = 68,920,950,784/119,964
  6. Step 6: Final answer
    x = 574,513.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.