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Finding the Third Proportional to 216,925.50 and 470,052

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Solution

The third proportional to 216,925.50 and 470,052 is: 1,018,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,925.50 : 470,052 = 470,052 : x
  2. Step 2: Convert to fraction form
    216,925.50/470,052 = 470,052/x
  3. Step 3: Cross multiply
    216,925.50x = 470,052 × 470,052
  4. Step 4: Simplify right side
    216,925.50x = 220,948,882,704
  5. Step 5: Solve for x
    x = 220,948,882,704/216,925.50
  6. Step 6: Final answer
    x = 1,018,547.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.