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Finding the Third Proportional to 245,726 and 370,844

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Solution

The third proportional to 245,726 and 370,844 is: 559,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,726 : 370,844 = 370,844 : x
  2. Step 2: Convert to fraction form
    245,726/370,844 = 370,844/x
  3. Step 3: Cross multiply
    245,726x = 370,844 × 370,844
  4. Step 4: Simplify right side
    245,726x = 137,525,272,336
  5. Step 5: Solve for x
    x = 137,525,272,336/245,726
  6. Step 6: Final answer
    x = 559,669.19

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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.