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Finding the Third Proportional to 228,084.50 and 328,547.25

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Solution

The third proportional to 228,084.50 and 328,547.25 is: 473,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,084.50 : 328,547.25 = 328,547.25 : x
  2. Step 2: Convert to fraction form
    228,084.50/328,547.25 = 328,547.25/x
  3. Step 3: Cross multiply
    228,084.50x = 328,547.25 × 328,547.25
  4. Step 4: Simplify right side
    228,084.50x = 107,943,295,482.56
  5. Step 5: Solve for x
    x = 107,943,295,482.56/228,084.50
  6. Step 6: Final answer
    x = 473,260.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.