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Finding the Third Proportional to 235,014 and 358,362

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Solution

The third proportional to 235,014 and 358,362 is: 546,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,014 : 358,362 = 358,362 : x
  2. Step 2: Convert to fraction form
    235,014/358,362 = 358,362/x
  3. Step 3: Cross multiply
    235,014x = 358,362 × 358,362
  4. Step 4: Simplify right side
    235,014x = 128,423,323,044
  5. Step 5: Solve for x
    x = 128,423,323,044/235,014
  6. Step 6: Final answer
    x = 546,449.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.