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Finding the Third Proportional to 163,875.75 and 357,540

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Solution

The third proportional to 163,875.75 and 357,540 is: 780,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,875.75 : 357,540 = 357,540 : x
  2. Step 2: Convert to fraction form
    163,875.75/357,540 = 357,540/x
  3. Step 3: Cross multiply
    163,875.75x = 357,540 × 357,540
  4. Step 4: Simplify right side
    163,875.75x = 127,834,851,600
  5. Step 5: Solve for x
    x = 127,834,851,600/163,875.75
  6. Step 6: Final answer
    x = 780,071.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.