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Finding the Third Proportional to 111,666.75 and 243,411.75

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Solution

The third proportional to 111,666.75 and 243,411.75 is: 530,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,666.75 : 243,411.75 = 243,411.75 : x
  2. Step 2: Convert to fraction form
    111,666.75/243,411.75 = 243,411.75/x
  3. Step 3: Cross multiply
    111,666.75x = 243,411.75 × 243,411.75
  4. Step 4: Simplify right side
    111,666.75x = 59,249,280,038.06
  5. Step 5: Solve for x
    x = 59,249,280,038.06/111,666.75
  6. Step 6: Final answer
    x = 530,590.17

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Why These Related Problems?

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