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Finding the Third Proportional to 229,924 and 358,854

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Solution

The third proportional to 229,924 and 358,854 is: 560,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,924 : 358,854 = 358,854 : x
  2. Step 2: Convert to fraction form
    229,924/358,854 = 358,854/x
  3. Step 3: Cross multiply
    229,924x = 358,854 × 358,854
  4. Step 4: Simplify right side
    229,924x = 128,776,193,316
  5. Step 5: Solve for x
    x = 128,776,193,316/229,924
  6. Step 6: Final answer
    x = 560,081.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.