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Finding the Third Proportional to 148,312 and 349,952

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Solution

The third proportional to 148,312 and 349,952 is: 825,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,312 : 349,952 = 349,952 : x
  2. Step 2: Convert to fraction form
    148,312/349,952 = 349,952/x
  3. Step 3: Cross multiply
    148,312x = 349,952 × 349,952
  4. Step 4: Simplify right side
    148,312x = 122,466,402,304
  5. Step 5: Solve for x
    x = 122,466,402,304/148,312
  6. Step 6: Final answer
    x = 825,734.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.