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Finding the Third Proportional to 145,309 and 307,904

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Solution

The third proportional to 145,309 and 307,904 is: 652,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,309 : 307,904 = 307,904 : x
  2. Step 2: Convert to fraction form
    145,309/307,904 = 307,904/x
  3. Step 3: Cross multiply
    145,309x = 307,904 × 307,904
  4. Step 4: Simplify right side
    145,309x = 94,804,873,216
  5. Step 5: Solve for x
    x = 94,804,873,216/145,309
  6. Step 6: Final answer
    x = 652,436.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.