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Finding the Third Proportional to 245,643 and 372,896

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Solution

The third proportional to 245,643 and 372,896 is: 566,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,643 : 372,896 = 372,896 : x
  2. Step 2: Convert to fraction form
    245,643/372,896 = 372,896/x
  3. Step 3: Cross multiply
    245,643x = 372,896 × 372,896
  4. Step 4: Simplify right side
    245,643x = 139,051,426,816
  5. Step 5: Solve for x
    x = 139,051,426,816/245,643
  6. Step 6: Final answer
    x = 566,071.20

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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.