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Finding the Third Proportional to 152,607 and 232,461

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Solution

The third proportional to 152,607 and 232,461 is: 354,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,607 : 232,461 = 232,461 : x
  2. Step 2: Convert to fraction form
    152,607/232,461 = 232,461/x
  3. Step 3: Cross multiply
    152,607x = 232,461 × 232,461
  4. Step 4: Simplify right side
    152,607x = 54,038,116,521
  5. Step 5: Solve for x
    x = 54,038,116,521/152,607
  6. Step 6: Final answer
    x = 354,099.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.