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Finding the Third Proportional to 157,710 and 336,065.25

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Solution

The third proportional to 157,710 and 336,065.25 is: 716,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,710 : 336,065.25 = 336,065.25 : x
  2. Step 2: Convert to fraction form
    157,710/336,065.25 = 336,065.25/x
  3. Step 3: Cross multiply
    157,710x = 336,065.25 × 336,065.25
  4. Step 4: Simplify right side
    157,710x = 112,939,852,257.56
  5. Step 5: Solve for x
    x = 112,939,852,257.56/157,710
  6. Step 6: Final answer
    x = 716,123.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.