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Finding the Third Proportional to 216,044 and 316,770

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Solution

The third proportional to 216,044 and 316,770 is: 464,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,044 : 316,770 = 316,770 : x
  2. Step 2: Convert to fraction form
    216,044/316,770 = 316,770/x
  3. Step 3: Cross multiply
    216,044x = 316,770 × 316,770
  4. Step 4: Simplify right side
    216,044x = 100,343,232,900
  5. Step 5: Solve for x
    x = 100,343,232,900/216,044
  6. Step 6: Final answer
    x = 464,457.39

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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.