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Finding the Third Proportional to 175,667.25 and 390,639

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Solution

The third proportional to 175,667.25 and 390,639 is: 868,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,667.25 : 390,639 = 390,639 : x
  2. Step 2: Convert to fraction form
    175,667.25/390,639 = 390,639/x
  3. Step 3: Cross multiply
    175,667.25x = 390,639 × 390,639
  4. Step 4: Simplify right side
    175,667.25x = 152,598,828,321
  5. Step 5: Solve for x
    x = 152,598,828,321/175,667.25
  6. Step 6: Final answer
    x = 868,681.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.