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Finding the Third Proportional to 216,048 and 316,776

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Solution

The third proportional to 216,048 and 316,776 is: 464,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,048 : 316,776 = 316,776 : x
  2. Step 2: Convert to fraction form
    216,048/316,776 = 316,776/x
  3. Step 3: Cross multiply
    216,048x = 316,776 × 316,776
  4. Step 4: Simplify right side
    216,048x = 100,347,034,176
  5. Step 5: Solve for x
    x = 100,347,034,176/216,048
  6. Step 6: Final answer
    x = 464,466.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.