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Finding the Third Proportional to 229,054 and 346,090

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Solution

The third proportional to 229,054 and 346,090 is: 522,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,054 : 346,090 = 346,090 : x
  2. Step 2: Convert to fraction form
    229,054/346,090 = 346,090/x
  3. Step 3: Cross multiply
    229,054x = 346,090 × 346,090
  4. Step 4: Simplify right side
    229,054x = 119,778,288,100
  5. Step 5: Solve for x
    x = 119,778,288,100/229,054
  6. Step 6: Final answer
    x = 522,925.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.