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Finding the Third Proportional to 147,195.56 and 233,457.19

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Solution

The third proportional to 147,195.56 and 233,457.19 is: 370,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,195.56 : 233,457.19 = 233,457.19 : x
  2. Step 2: Convert to fraction form
    147,195.56/233,457.19 = 233,457.19/x
  3. Step 3: Cross multiply
    147,195.56x = 233,457.19 × 233,457.19
  4. Step 4: Simplify right side
    147,195.56x = 54,502,258,395.41
  5. Step 5: Solve for x
    x = 54,502,258,395.41/147,195.56
  6. Step 6: Final answer
    x = 370,271.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.