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Finding the Third Proportional to 216,688 and 346,024

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Solution

The third proportional to 216,688 and 346,024 is: 552,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,688 : 346,024 = 346,024 : x
  2. Step 2: Convert to fraction form
    216,688/346,024 = 346,024/x
  3. Step 3: Cross multiply
    216,688x = 346,024 × 346,024
  4. Step 4: Simplify right side
    216,688x = 119,732,608,576
  5. Step 5: Solve for x
    x = 119,732,608,576/216,688
  6. Step 6: Final answer
    x = 552,557.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.