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Finding the Third Proportional to 216,032 and 316,752

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Solution

The third proportional to 216,032 and 316,752 is: 464,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,032 : 316,752 = 316,752 : x
  2. Step 2: Convert to fraction form
    216,032/316,752 = 316,752/x
  3. Step 3: Cross multiply
    216,032x = 316,752 × 316,752
  4. Step 4: Simplify right side
    216,032x = 100,331,829,504
  5. Step 5: Solve for x
    x = 100,331,829,504/216,032
  6. Step 6: Final answer
    x = 464,430.41

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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.