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Finding the Third Proportional to 235,710 and 376,285.50

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Solution

The third proportional to 235,710 and 376,285.50 is: 600,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,710 : 376,285.50 = 376,285.50 : x
  2. Step 2: Convert to fraction form
    235,710/376,285.50 = 376,285.50/x
  3. Step 3: Cross multiply
    235,710x = 376,285.50 × 376,285.50
  4. Step 4: Simplify right side
    235,710x = 141,590,777,510.25
  5. Step 5: Solve for x
    x = 141,590,777,510.25/235,710
  6. Step 6: Final answer
    x = 600,699.07

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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.