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Finding the Third Proportional to 147,621 and 235,005.50

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Solution

The third proportional to 147,621 and 235,005.50 is: 374,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,621 : 235,005.50 = 235,005.50 : x
  2. Step 2: Convert to fraction form
    147,621/235,005.50 = 235,005.50/x
  3. Step 3: Cross multiply
    147,621x = 235,005.50 × 235,005.50
  4. Step 4: Simplify right side
    147,621x = 55,227,585,030.25
  5. Step 5: Solve for x
    x = 55,227,585,030.25/147,621
  6. Step 6: Final answer
    x = 374,117.40

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