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Finding the Third Proportional to 245,664 and 375,050.25

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Solution

The third proportional to 245,664 and 375,050.25 is: 572,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,664 : 375,050.25 = 375,050.25 : x
  2. Step 2: Convert to fraction form
    245,664/375,050.25 = 375,050.25/x
  3. Step 3: Cross multiply
    245,664x = 375,050.25 × 375,050.25
  4. Step 4: Simplify right side
    245,664x = 140,662,690,025.06
  5. Step 5: Solve for x
    x = 140,662,690,025.06/245,664
  6. Step 6: Final answer
    x = 572,581.62

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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.