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Finding the Third Proportional to 245,892 and 370,572

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Solution

The third proportional to 245,892 and 370,572 is: 558,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,892 : 370,572 = 370,572 : x
  2. Step 2: Convert to fraction form
    245,892/370,572 = 370,572/x
  3. Step 3: Cross multiply
    245,892x = 370,572 × 370,572
  4. Step 4: Simplify right side
    245,892x = 137,323,607,184
  5. Step 5: Solve for x
    x = 137,323,607,184/245,892
  6. Step 6: Final answer
    x = 558,471.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.