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Finding the Third Proportional to 245,012 and 368,952

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Solution

The third proportional to 245,012 and 368,952 is: 555,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,012 : 368,952 = 368,952 : x
  2. Step 2: Convert to fraction form
    245,012/368,952 = 368,952/x
  3. Step 3: Cross multiply
    245,012x = 368,952 × 368,952
  4. Step 4: Simplify right side
    245,012x = 136,125,578,304
  5. Step 5: Solve for x
    x = 136,125,578,304/245,012
  6. Step 6: Final answer
    x = 555,587.39

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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.