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Finding the Third Proportional to 216,046 and 316,773

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Solution

The third proportional to 216,046 and 316,773 is: 464,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,046 : 316,773 = 316,773 : x
  2. Step 2: Convert to fraction form
    216,046/316,773 = 316,773/x
  3. Step 3: Cross multiply
    216,046x = 316,773 × 316,773
  4. Step 4: Simplify right side
    216,046x = 100,345,133,529
  5. Step 5: Solve for x
    x = 100,345,133,529/216,046
  6. Step 6: Final answer
    x = 464,461.89

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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.