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Finding the Third Proportional to 147,925.13 and 319,506

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Solution

The third proportional to 147,925.13 and 319,506 is: 690,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,925.13 : 319,506 = 319,506 : x
  2. Step 2: Convert to fraction form
    147,925.13/319,506 = 319,506/x
  3. Step 3: Cross multiply
    147,925.13x = 319,506 × 319,506
  4. Step 4: Simplify right side
    147,925.13x = 102,084,084,036
  5. Step 5: Solve for x
    x = 102,084,084,036/147,925.13
  6. Step 6: Final answer
    x = 690,106.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.