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Finding the Third Proportional to 216,368 and 332,776

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Solution

The third proportional to 216,368 and 332,776 is: 511,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,368 : 332,776 = 332,776 : x
  2. Step 2: Convert to fraction form
    216,368/332,776 = 332,776/x
  3. Step 3: Cross multiply
    216,368x = 332,776 × 332,776
  4. Step 4: Simplify right side
    216,368x = 110,739,866,176
  5. Step 5: Solve for x
    x = 110,739,866,176/216,368
  6. Step 6: Final answer
    x = 511,812.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.