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Finding the Third Proportional to 113,858 and 249,490

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Solution

The third proportional to 113,858 and 249,490 is: 546,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,858 : 249,490 = 249,490 : x
  2. Step 2: Convert to fraction form
    113,858/249,490 = 249,490/x
  3. Step 3: Cross multiply
    113,858x = 249,490 × 249,490
  4. Step 4: Simplify right side
    113,858x = 62,245,260,100
  5. Step 5: Solve for x
    x = 62,245,260,100/113,858
  6. Step 6: Final answer
    x = 546,692.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.