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Finding the Third Proportional to 145,032 and 307,464

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Solution

The third proportional to 145,032 and 307,464 is: 651,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,032 : 307,464 = 307,464 : x
  2. Step 2: Convert to fraction form
    145,032/307,464 = 307,464/x
  3. Step 3: Cross multiply
    145,032x = 307,464 × 307,464
  4. Step 4: Simplify right side
    145,032x = 94,534,111,296
  5. Step 5: Solve for x
    x = 94,534,111,296/145,032
  6. Step 6: Final answer
    x = 651,815.54

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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.