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Finding the Third Proportional to 242,664 and 371,724

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Solution

The third proportional to 242,664 and 371,724 is: 569,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,664 : 371,724 = 371,724 : x
  2. Step 2: Convert to fraction form
    242,664/371,724 = 371,724/x
  3. Step 3: Cross multiply
    242,664x = 371,724 × 371,724
  4. Step 4: Simplify right side
    242,664x = 138,178,732,176
  5. Step 5: Solve for x
    x = 138,178,732,176/242,664
  6. Step 6: Final answer
    x = 569,424.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.